2,612,151

3² × 41 × 7079

Starting at 2,612,151, the Collatz iteration reaches 1 after 81 steps. The first transition is 7836454; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 41 × 7079

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 3,865,680

Proper Divisor Sum 1,253,529

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #2612143 ← → #2612167

Radix Representation

Decimal	2612151
Binary	1001111101101110110111 (22 bits)
Octal	0o11755667
Hexadecimal	0x27DBB7

Divisor Catalog (12)

1 3 9 41 123 369 7,079 21,237 63,711 290,239 870,717 2,612,151

Collatz Trajectory (81 steps to reach 1)

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

2,612,151 7,836,454 3,918,227 11,754,682 5,877,341 17,632,024 8,816,012 4,408,006 2,204,003 6,612,010 3,306,005 9,918,016 4,959,008 2,479,504 1,239,752 619,876 309,938 154,969 464,908 232,454 116,227 348,682 174,341 523,024 261,512 130,756 65,378 32,689 98,068 49,034 24,517 73,552 36,776 18,388 9,194 4,597 13,792 6,896 3,448 1,724 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77

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