λ
Modular Archive

4,097,125

53 × 73 × 449
Deficient Odd Composite

The decimal integer 4,097,125 is 1111101000010001100101 in binary (22 bits), 17502145 in octal and 3E8465 in hexadecimal. Its digit sum is 28.

Prime Factor Structure

Factorization String 5^3 × 73 × 449
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,194,800
Proper Divisor Sum 1,097,675
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #4097113 ← → #4097143

Radix Representation

Decimal 4097125
Binary 1111101000010001100101 (22 bits)
Octal 0o17502145
Hexadecimal 0x3E8465

Divisor Catalog (16)

1 5 25 73 125 365 449 1,825 2,245 9,125 11,225 32,777 56,125 163,885 819,425 4,097,125

Collatz Trajectory (105 steps to reach 1)

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

4,097,125 12,291,376 6,145,688 3,072,844 1,536,422 768,211 2,304,634 1,152,317 3,456,952 1,728,476 864,238 432,119 1,296,358 648,179 1,944,538 972,269 2,916,808 1,458,404 729,202 364,601 1,093,804 546,902 273,451 820,354 410,177 1,230,532 615,266 307,633 922,900 461,450 230,725 692,176 346,088 173,044 86,522 43,261 129,784 64,892 32,446 16,223 48,670 24,335 73,006 36,503 109,510 54,755 164,266 82,133 246,400 123,200 61,600 30,800 15,400 7,700 3,850 1,925 5,776 2,888 1,444 722

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