6,272,590

2 × 5 × 41 × 15299

Starting at 6,272,590, the Collatz iteration reaches 1 after 134 steps. The first transition is 3136295; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 41 × 15299

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 11,566,800

Proper Divisor Sum 5,294,210

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #6272579 ← → #6272611

Radix Representation

Decimal	6272590
Binary	10111111011011001001110 (23 bits)
Octal	0o27733116
Hexadecimal	0x5FB64E

Divisor Catalog (16)

1 2 5 10 41 82 205 410 15,299 30,598 76,495 152,990 627,259 1,254,518 3,136,295 6,272,590

Collatz Trajectory (134 steps to reach 1)

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

6,272,590 3,136,295 9,408,886 4,704,443 14,113,330 7,056,665 21,169,996 10,584,998 5,292,499 15,877,498 7,938,749 23,816,248 11,908,124 5,954,062 2,977,031 8,931,094 4,465,547 13,396,642 6,698,321 20,094,964 10,047,482 5,023,741 15,071,224 7,535,612 3,767,806 1,883,903 5,651,710 2,825,855 8,477,566 4,238,783 12,716,350 6,358,175 19,074,526 9,537,263 28,611,790 14,305,895 42,917,686 21,458,843 64,376,530 32,188,265 96,564,796 48,282,398 24,141,199 72,423,598 36,211,799 108,635,398 54,317,699 162,953,098 81,476,549 244,429,648 122,214,824 61,107,412 30,553,706 15,276,853 45,830,560 22,915,280 11,457,640 5,728,820 2,864,410 1,432,205

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