7,971,159

3 × 7 × 379579

Starting at 7,971,159, the Collatz iteration reaches 1 after 142 steps. The first transition is 23913478; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 379579

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 12,146,560

Proper Divisor Sum 4,175,401

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #7971157 ← → #7971199

Radix Representation

Decimal	7971159
Binary	11110011010000101010111 (23 bits)
Octal	0o36320527
Hexadecimal	0x79A157

Divisor Catalog (8)

1 3 7 21 379,579 1,138,737 2,657,053 7,971,159

Collatz Trajectory (142 steps to reach 1)

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

7,971,159 23,913,478 11,956,739 35,870,218 17,935,109 53,805,328 26,902,664 13,451,332 6,725,666 3,362,833 10,088,500 5,044,250 2,522,125 7,566,376 3,783,188 1,891,594 945,797 2,837,392 1,418,696 709,348 354,674 177,337 532,012 266,006 133,003 399,010 199,505 598,516 299,258 149,629 448,888 224,444 112,222 56,111 168,334 84,167 252,502 126,251 378,754 189,377 568,132 284,066 142,033 426,100 213,050 106,525 319,576 159,788 79,894 39,947 119,842 59,921 179,764 89,882 44,941 134,824 67,412 33,706 16,853 50,560

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