8,231,767

61 × 134947

8,231,767 factors as 61 × 134947. Its 4 positive divisors give a proper-divisor sum of 135,009, so this integer is deficient. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 61 × 134947

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 8,366,776

Proper Divisor Sum 135,009

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #8231753 ← → #8231777

Radix Representation

Decimal	8231767
Binary	11111011001101101010111 (23 bits)
Octal	0o37315527
Hexadecimal	0x7D9B57

Divisor Catalog (4)

1 61 134,947 8,231,767

Collatz Trajectory (93 steps to reach 1)

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

8,231,767 24,695,302 12,347,651 37,042,954 18,521,477 55,564,432 27,782,216 13,891,108 6,945,554 3,472,777 10,418,332 5,209,166 2,604,583 7,813,750 3,906,875 11,720,626 5,860,313 17,580,940 8,790,470 4,395,235 13,185,706 6,592,853 19,778,560 9,889,280 4,944,640 2,472,320 1,236,160 618,080 309,040 154,520 77,260 38,630 19,315 57,946 28,973 86,920 43,460 21,730 10,865 32,596 16,298 8,149 24,448 12,224 6,112 3,056 1,528 764 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457

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