4,100,139

3⁵ × 47 × 359

4,100,139 factors as 3^5 × 47 × 359. Its 24 positive divisors give a proper-divisor sum of 2,189,781, so this integer is deficient. The Collatz stopping time is 198 steps.

Prime Factor Structure

Factorization String 3^5 × 47 × 359

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 6,289,920

Proper Divisor Sum 2,189,781

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #4100137 ← → #4100167

Radix Representation

Decimal	4100139
Binary	1111101001000000101011 (22 bits)
Octal	0o17510053
Hexadecimal	0x3E902B

Divisor Catalog (24)

Collatz Trajectory (198 steps to reach 1)

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

4,100,139 12,300,418 6,150,209 18,450,628 9,225,314 4,612,657 13,837,972 6,918,986 3,459,493 10,378,480 5,189,240 2,594,620 1,297,310 648,655 1,945,966 972,983 2,918,950 1,459,475 4,378,426 2,189,213 6,567,640 3,283,820 1,641,910 820,955 2,462,866 1,231,433 3,694,300 1,847,150 923,575 2,770,726 1,385,363 4,156,090 2,078,045 6,234,136 3,117,068 1,558,534 779,267 2,337,802 1,168,901 3,506,704 1,753,352 876,676 438,338 219,169 657,508 328,754 164,377 493,132 246,566 123,283 369,850 184,925 554,776 277,388 138,694 69,347 208,042 104,021 312,064 156,032

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