λ
Modular Archive

4,988,004

22 × 3 × 72 × 17 × 499
Abundant Even Composite

The decimal integer 4,988,004 is 10011000001110001100100 in binary (23 bits), 23016144 in octal and 4C1C64 in hexadecimal. Its digit sum is 33.

Prime Factor Structure

Factorization String 2^2 × 3 × 7^2 × 17 × 499
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 14,364,000
Proper Divisor Sum 9,375,996
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #4988003 ← → #4988023

Radix Representation

Decimal 4988004
Binary 10011000001110001100100 (23 bits)
Octal 0o23016144
Hexadecimal 0x4C1C64

Divisor Catalog (60 of 72)

1 2 3 4 6 7 12 14 17 21 28 34 42 49 51 68 84 98 102 119 147 196 204 238 294 357 476 499 588 714 833 998 1,428 1,497 1,666 1,996 2,499 2,994 3,332 3,493 4,998 5,988 6,986 8,483 9,996 10,479 13,972 16,966 20,958 24,451 25,449 33,932 41,916 48,902 50,898 59,381 73,353 97,804 101,796 118,762

Collatz Trajectory (206 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

4,988,004 2,494,002 1,247,001 3,741,004 1,870,502 935,251 2,805,754 1,402,877 4,208,632 2,104,316 1,052,158 526,079 1,578,238 789,119 2,367,358 1,183,679 3,551,038 1,775,519 5,326,558 2,663,279 7,989,838 3,994,919 11,984,758 5,992,379 17,977,138 8,988,569 26,965,708 13,482,854 6,741,427 20,224,282 10,112,141 30,336,424 15,168,212 7,584,106 3,792,053 11,376,160 5,688,080 2,844,040 1,422,020 711,010 355,505 1,066,516 533,258 266,629 799,888 399,944 199,972 99,986 49,993 149,980 74,990 37,495 112,486 56,243 168,730 84,365 253,096 126,548 63,274 31,637

More profiles

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