2,992,860

2² × 3² × 5 × 13 × 1279

Starting at 2,992,860, the Collatz iteration reaches 1 after 76 steps. The first transition is 1496430; the starting value is even with 72 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 13 × 1279

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 9,784,320

Proper Divisor Sum 6,791,460

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #2992859 ← → #2992879

Radix Representation

Decimal	2992860
Binary	1011011010101011011100 (22 bits)
Octal	0o13325334
Hexadecimal	0x2DAADC

Divisor Catalog (60 of 72)

1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1,170 1,279 2,340 2,558 3,837 5,116 6,395 7,674 11,511 12,790 15,348 16,627 19,185 23,022 25,580 33,254 38,370 46,044 49,881 57,555 66,508 76,740 83,135 99,762 115,110 149,643

Collatz Trajectory (76 steps to reach 1)

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

2,992,860 1,496,430 748,215 2,244,646 1,122,323 3,366,970 1,683,485 5,050,456 2,525,228 1,262,614 631,307 1,893,922 946,961 2,840,884 1,420,442 710,221 2,130,664 1,065,332 532,666 266,333 799,000 399,500 199,750 99,875 299,626 149,813 449,440 224,720 112,360 56,180 28,090 14,045 42,136 21,068 10,534 5,267 15,802 7,901 23,704 11,852 5,926 2,963 8,890 4,445 13,336 6,668 3,334 1,667 5,002 2,501 7,504 3,752 1,876 938 469 1,408 704 352 176 88

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