83,178,823

7² × 13 × 130579

83,178,823 factors as 7^2 × 13 × 130579. Its 12 positive divisors give a proper-divisor sum of 21,024,017, so this integer is deficient. The Collatz stopping time is 272 steps.

Prime Factor Structure

Factorization String 7^2 × 13 × 130579

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 104,202,840

Proper Divisor Sum 21,024,017

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #83178779 ← → #83178839

Radix Representation

Decimal	83178823
Binary	100111101010011010101000111 (27 bits)
Octal	0o475232507
Hexadecimal	0x4F53547

Divisor Catalog (12)

1 7 13 49 91 637 130,579 914,053 1,697,527 6,398,371 11,882,689 83,178,823

Collatz Trajectory (272 steps to reach 1)

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

83,178,823 249,536,470 124,768,235 374,304,706 187,152,353 561,457,060 280,728,530 140,364,265 421,092,796 210,546,398 105,273,199 315,819,598 157,909,799 473,729,398 236,864,699 710,594,098 355,297,049 1,065,891,148 532,945,574 266,472,787 799,418,362 399,709,181 1,199,127,544 599,563,772 299,781,886 149,890,943 449,672,830 224,836,415 674,509,246 337,254,623 1,011,763,870 505,881,935 1,517,645,806 758,822,903 2,276,468,710 1,138,234,355 3,414,703,066 1,707,351,533 5,122,054,600 2,561,027,300 1,280,513,650 640,256,825 1,920,770,476 960,385,238 480,192,619 1,440,577,858 720,288,929 2,160,866,788 1,080,433,394 540,216,697 1,620,650,092 810,325,046 405,162,523 1,215,487,570 607,743,785 1,823,231,356 911,615,678 455,807,839 1,367,423,518 683,711,759

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