λ
Ratio Atlas
Atlas › Integer Profiles › Node 82,926,592

82,926,592

210 × 7 × 23 × 503
Abundant Even Composite

82,926,592 factors as 2^10 × 7 × 23 × 503. Its 88 positive divisors give a proper-divisor sum of 115,157,504, so this integer is abundant. The Collatz stopping time is 86 steps.

Prime Factor Structure

Factorization String 2^10 × 7 × 23 × 503
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 88
Divisor Sum (σ) 198,084,096
Proper Divisor Sum 115,157,504
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #82926589 ← → #82926593

Radix Representation

Decimal 82926592
Binary 100111100010101110000000000 (27 bits)
Octal 0o474256000
Hexadecimal 0x4F15C00

Divisor Catalog (60 of 88)

1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 128 161 184 224 256 322 368 448 503 512 644 736 896 1,006 1,024 1,288 1,472 1,792 2,012 2,576 2,944 3,521 3,584 4,024 5,152 5,888 7,042 7,168 8,048 10,304 11,569 11,776 14,084 16,096 20,608 23,138 23,552 28,168 32,192 41,216 46,276 56,336 64,384 80,983 82,432

Collatz Trajectory (86 steps to reach 1)

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

82,926,592 41,463,296 20,731,648 10,365,824 5,182,912 2,591,456 1,295,728 647,864 323,932 161,966 80,983 242,950 121,475 364,426 182,213 546,640 273,320 136,660 68,330 34,165 102,496 51,248 25,624 12,812 6,406 3,203 9,610 4,805 14,416 7,208 3,604 1,802 901 2,704 1,352 676 338 169 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410

More profiles

Browse other published profiles and their separate link collections.

Profile #8,342,168 Profile #1,146,956 Profile #9,712,347 Profile #6,573,969 Profile #965,653 Profile #4,620,983 Profile #853,259 Profile #1,288,150
← Previous Integer #82,926,591 Browse Full Index Next Integer #82,926,593 →