5,121,039

3 × 7² × 11 × 3167

Starting at 5,121,039, the Collatz iteration reaches 1 after 175 steps. The first transition is 15363118; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3 × 7^2 × 11 × 3167

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 8,667,648

Proper Divisor Sum 3,546,609

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #5121037 ← → #5121041

Radix Representation

Decimal	5121039
Binary	10011100010010000001111 (23 bits)
Octal	0o23422017
Hexadecimal	0x4E240F

Divisor Catalog (24)

1 3 7 11 21 33 49 77 147 231 539 1,617 3,167 9,501 22,169 34,837 66,507 104,511 155,183 243,859 465,549 731,577 1,707,013 5,121,039

Collatz Trajectory (175 steps to reach 1)

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

5,121,039 15,363,118 7,681,559 23,044,678 11,522,339 34,567,018 17,283,509 51,850,528 25,925,264 12,962,632 6,481,316 3,240,658 1,620,329 4,860,988 2,430,494 1,215,247 3,645,742 1,822,871 5,468,614 2,734,307 8,202,922 4,101,461 12,304,384 6,152,192 3,076,096 1,538,048 769,024 384,512 192,256 96,128 48,064 24,032 12,016 6,008 3,004 1,502 751 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229 21,688 10,844 5,422

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