λ
Modular Archive

7,001,976

23 × 3 × 167 × 1747
Abundant Even Composite

The decimal integer 7,001,976 is 11010101101011101111000 in binary (23 bits), 32553570 in octal and 6AD778 in hexadecimal. Its digit sum is 30.

Prime Factor Structure

Factorization String 2^3 × 3 × 167 × 1747
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 17,619,840
Proper Divisor Sum 10,617,864
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #7001927 ← → #7001999

Radix Representation

Decimal 7001976
Binary 11010101101011101111000 (23 bits)
Octal 0o32553570
Hexadecimal 0x6AD778

Divisor Catalog (32)

1 2 3 4 6 8 12 24 167 334 501 668 1,002 1,336 1,747 2,004 3,494 4,008 5,241 6,988 10,482 13,976 20,964 41,928 291,749 583,498 875,247 1,166,996 1,750,494 2,333,992 3,500,988 7,001,976

Collatz Trajectory (116 steps to reach 1)

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

7,001,976 3,500,988 1,750,494 875,247 2,625,742 1,312,871 3,938,614 1,969,307 5,907,922 2,953,961 8,861,884 4,430,942 2,215,471 6,646,414 3,323,207 9,969,622 4,984,811 14,954,434 7,477,217 22,431,652 11,215,826 5,607,913 16,823,740 8,411,870 4,205,935 12,617,806 6,308,903 18,926,710 9,463,355 28,390,066 14,195,033 42,585,100 21,292,550 10,646,275 31,938,826 15,969,413 47,908,240 23,954,120 11,977,060 5,988,530 2,994,265 8,982,796 4,491,398 2,245,699 6,737,098 3,368,549 10,105,648 5,052,824 2,526,412 1,263,206 631,603 1,894,810 947,405 2,842,216 1,421,108 710,554 355,277 1,065,832 532,916 266,458

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