6,152,562

2 × 3² × 13 × 26293

Starting at 6,152,562, the Collatz iteration reaches 1 after 77 steps. The first transition is 3076281; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 13 × 26293

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 14,356,524

Proper Divisor Sum 8,203,962

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #6152537 ← → #6152563

Radix Representation

Decimal	6152562
Binary	10111011110000101110010 (23 bits)
Octal	0o27360562
Hexadecimal	0x5DE172

Divisor Catalog (24)

1 2 3 6 9 13 18 26 39 78 117 234 26,293 52,586 78,879 157,758 236,637 341,809 473,274 683,618 1,025,427 2,050,854 3,076,281 6,152,562

Collatz Trajectory (77 steps to reach 1)

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

6,152,562 3,076,281 9,228,844 4,614,422 2,307,211 6,921,634 3,460,817 10,382,452 5,191,226 2,595,613 7,786,840 3,893,420 1,946,710 973,355 2,920,066 1,460,033 4,380,100 2,190,050 1,095,025 3,285,076 1,642,538 821,269 2,463,808 1,231,904 615,952 307,976 153,988 76,994 38,497 115,492 57,746 28,873 86,620 43,310 21,655 64,966 32,483 97,450 48,725 146,176 73,088 36,544 18,272 9,136 4,568 2,284 1,142 571 1,714 857 2,572 1,286 643 1,930 965 2,896 1,448 724 362 181

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