5,712,609

3 × 7 × 272029

Starting at 5,712,609, the Collatz iteration reaches 1 after 139 steps. The first transition is 17137828; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 272029

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 8,704,960

Proper Divisor Sum 2,992,351

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #5712601 ← → #5712611

Radix Representation

Decimal	5712609
Binary	10101110010101011100001 (23 bits)
Octal	0o25625341
Hexadecimal	0x572AE1

Divisor Catalog (8)

1 3 7 21 272,029 816,087 1,904,203 5,712,609

Collatz Trajectory (139 steps to reach 1)

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

5,712,609 17,137,828 8,568,914 4,284,457 12,853,372 6,426,686 3,213,343 9,640,030 4,820,015 14,460,046 7,230,023 21,690,070 10,845,035 32,535,106 16,267,553 48,802,660 24,401,330 12,200,665 36,601,996 18,300,998 9,150,499 27,451,498 13,725,749 41,177,248 20,588,624 10,294,312 5,147,156 2,573,578 1,286,789 3,860,368 1,930,184 965,092 482,546 241,273 723,820 361,910 180,955 542,866 271,433 814,300 407,150 203,575 610,726 305,363 916,090 458,045 1,374,136 687,068 343,534 171,767 515,302 257,651 772,954 386,477 1,159,432 579,716 289,858 144,929 434,788 217,394

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