2,664,616

2³ × 251 × 1327

Starting at 2,664,616, the Collatz iteration reaches 1 after 187 steps. The first transition is 1332308; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 251 × 1327

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,019,840

Proper Divisor Sum 2,355,224

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #2664601 ← → #2664643

Radix Representation

Decimal	2664616
Binary	1010001010100010101000 (22 bits)
Octal	0o12124250
Hexadecimal	0x28A8A8

Divisor Catalog (16)

1 2 4 8 251 502 1,004 1,327 2,008 2,654 5,308 10,616 333,077 666,154 1,332,308 2,664,616

Collatz Trajectory (187 steps to reach 1)

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

2,664,616 1,332,308 666,154 333,077 999,232 499,616 249,808 124,904 62,452 31,226 15,613 46,840 23,420 11,710 5,855 17,566 8,783 26,350 13,175 39,526 19,763 59,290 29,645 88,936 44,468 22,234 11,117 33,352 16,676 8,338 4,169 12,508 6,254 3,127 9,382 4,691 14,074 7,037 21,112 10,556 5,278 2,639 7,918 3,959 11,878 5,939 17,818 8,909 26,728 13,364 6,682 3,341 10,024 5,012 2,506 1,253 3,760 1,880 940 470

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