2,551,224

2³ × 3 × 13² × 17 × 37

Starting at 2,551,224, the Collatz iteration reaches 1 after 125 steps. The first transition is 1275612; the starting value is even with 96 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 13^2 × 17 × 37

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 7,510,320

Proper Divisor Sum 4,959,096

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #2551223 ← → #2551247

Radix Representation

Decimal	2551224
Binary	1001101110110110111000 (22 bits)
Octal	0o11566670
Hexadecimal	0x26EDB8

Divisor Catalog (60 of 96)

1 2 3 4 6 8 12 13 17 24 26 34 37 39 51 52 68 74 78 102 104 111 136 148 156 169 204 221 222 296 312 338 408 442 444 481 507 629 663 676 884 888 962 1,014 1,258 1,326 1,352 1,443 1,768 1,887 1,924 2,028 2,516 2,652 2,873 2,886 3,774 3,848 4,056 5,032

Collatz Trajectory (125 steps to reach 1)

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

2,551,224 1,275,612 637,806 318,903 956,710 478,355 1,435,066 717,533 2,152,600 1,076,300 538,150 269,075 807,226 403,613 1,210,840 605,420 302,710 151,355 454,066 227,033 681,100 340,550 170,275 510,826 255,413 766,240 383,120 191,560 95,780 47,890 23,945 71,836 35,918 17,959 53,878 26,939 80,818 40,409 121,228 60,614 30,307 90,922 45,461 136,384 68,192 34,096 17,048 8,524 4,262 2,131 6,394 3,197 9,592 4,796 2,398 1,199 3,598 1,799 5,398 2,699

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