7,079,358

2 × 3 × 11 × 13 × 37 × 223

Starting at 7,079,358, the Collatz iteration reaches 1 after 98 steps. The first transition is 3539679; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 11 × 13 × 37 × 223

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 17,160,192

Proper Divisor Sum 10,080,834

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #7079353 ← → #7079363

Radix Representation

Decimal	7079358
Binary	11011000000010110111110 (23 bits)
Octal	0o33002676
Hexadecimal	0x6C05BE

Divisor Catalog (60 of 64)

1 2 3 6 11 13 22 26 33 37 39 66 74 78 111 143 222 223 286 407 429 446 481 669 814 858 962 1,221 1,338 1,443 2,442 2,453 2,886 2,899 4,906 5,291 5,798 7,359 8,251 8,697 10,582 14,718 15,873 16,502 17,394 24,753 31,746 31,889 49,506 63,778 90,761 95,667 107,263 181,522 191,334 214,526 272,283 321,789 544,566 643,578

Collatz Trajectory (98 steps to reach 1)

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

7,079,358 3,539,679 10,619,038 5,309,519 15,928,558 7,964,279 23,892,838 11,946,419 35,839,258 17,919,629 53,758,888 26,879,444 13,439,722 6,719,861 20,159,584 10,079,792 5,039,896 2,519,948 1,259,974 629,987 1,889,962 944,981 2,834,944 1,417,472 708,736 354,368 177,184 88,592 44,296 22,148 11,074 5,537 16,612 8,306 4,153 12,460 6,230 3,115 9,346 4,673 14,020 7,010 3,505 10,516 5,258 2,629 7,888 3,944 1,972 986 493 1,480 740 370 185 556 278 139 418 209

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