3,122,496

2⁶ × 3³ × 13 × 139

Starting at 3,122,496, the Collatz iteration reaches 1 after 133 steps. The first transition is 1561248; the starting value is even with 112 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 3^3 × 13 × 139

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 112

Divisor Sum (σ) 9,956,800

Proper Divisor Sum 6,834,304

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3122491 ← → #3122513

Radix Representation

Decimal	3122496
Binary	1011111010010101000000 (22 bits)
Octal	0o13722500
Hexadecimal	0x2FA540

Divisor Catalog (60 of 112)

1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 139 144 156 192 208 216 234 278 288 312 351 416 417 432 468 556 576 624 702 832 834 864 936 1,112 1,248 1,251 1,404 1,668 1,728 1,807 1,872 2,224 2,496

Collatz Trajectory (133 steps to reach 1)

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

3,122,496 1,561,248 780,624 390,312 195,156 97,578 48,789 146,368 73,184 36,592 18,296 9,148 4,574 2,287 6,862 3,431 10,294 5,147 15,442 7,721 23,164 11,582 5,791 17,374 8,687 26,062 13,031 39,094 19,547 58,642 29,321 87,964 43,982 21,991 65,974 32,987 98,962 49,481 148,444 74,222 37,111 111,334 55,667 167,002 83,501 250,504 125,252 62,626 31,313 93,940 46,970 23,485 70,456 35,228 17,614 8,807 26,422 13,211 39,634 19,817

← Previous Integer #3,122,495 Browse Full Index Next Integer #3,122,497 →