7,442,994

2 × 3 × 13 × 37 × 2579

Starting at 7,442,994, the Collatz iteration reaches 1 after 142 steps. The first transition is 3721497; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 37 × 2579

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 16,470,720

Proper Divisor Sum 9,027,726

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #7442989 ← → #7443011

Radix Representation

Decimal	7442994
Binary	11100011001001000110010 (23 bits)
Octal	0o34311062
Hexadecimal	0x719232

Divisor Catalog (32)

1 2 3 6 13 26 37 39 74 78 111 222 481 962 1,443 2,579 2,886 5,158 7,737 15,474 33,527 67,054 95,423 100,581 190,846 201,162 286,269 572,538 1,240,499 2,480,998 3,721,497 7,442,994

Collatz Trajectory (142 steps to reach 1)

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

7,442,994 3,721,497 11,164,492 5,582,246 2,791,123 8,373,370 4,186,685 12,560,056 6,280,028 3,140,014 1,570,007 4,710,022 2,355,011 7,065,034 3,532,517 10,597,552 5,298,776 2,649,388 1,324,694 662,347 1,987,042 993,521 2,980,564 1,490,282 745,141 2,235,424 1,117,712 558,856 279,428 139,714 69,857 209,572 104,786 52,393 157,180 78,590 39,295 117,886 58,943 176,830 88,415 265,246 132,623 397,870 198,935 596,806 298,403 895,210 447,605 1,342,816 671,408 335,704 167,852 83,926 41,963 125,890 62,945 188,836 94,418 47,209

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