2,617,278

2 × 3 × 509 × 857

Starting at 2,617,278, the Collatz iteration reaches 1 after 156 steps. The first transition is 1308639; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 509 × 857

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,250,960

Proper Divisor Sum 2,633,682

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #2617271 ← → #2617301

Radix Representation

Decimal	2617278
Binary	1001111110111110111110 (22 bits)
Octal	0o11767676
Hexadecimal	0x27EFBE

Divisor Catalog (16)

1 2 3 6 509 857 1,018 1,527 1,714 2,571 3,054 5,142 436,213 872,426 1,308,639 2,617,278

Collatz Trajectory (156 steps to reach 1)

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

2,617,278 1,308,639 3,925,918 1,962,959 5,888,878 2,944,439 8,833,318 4,416,659 13,249,978 6,624,989 19,874,968 9,937,484 4,968,742 2,484,371 7,453,114 3,726,557 11,179,672 5,589,836 2,794,918 1,397,459 4,192,378 2,096,189 6,288,568 3,144,284 1,572,142 786,071 2,358,214 1,179,107 3,537,322 1,768,661 5,305,984 2,652,992 1,326,496 663,248 331,624 165,812 82,906 41,453 124,360 62,180 31,090 15,545 46,636 23,318 11,659 34,978 17,489 52,468 26,234 13,117 39,352 19,676 9,838 4,919 14,758 7,379 22,138 11,069 33,208 16,604

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