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Atlas › Integer Profiles › Node 52,308,592

52,308,592

24 × 7 × 17 × 83 × 331
Abundant Even Composite

52,308,592 factors as 2^4 × 7 × 17 × 83 × 331. Its 80 positive divisors give a proper-divisor sum of 72,183,440, so this integer is abundant. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 17 × 83 × 331
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 124,492,032
Proper Divisor Sum 72,183,440
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #52308583 ← → #52308617

Radix Representation

Decimal 52308592
Binary 11000111100010101001110000 (26 bits)
Octal 0o307425160
Hexadecimal 0x31E2A70

Divisor Catalog (60 of 80)

1 2 4 7 8 14 16 17 28 34 56 68 83 112 119 136 166 238 272 331 332 476 581 662 664 952 1,162 1,324 1,328 1,411 1,904 2,317 2,324 2,648 2,822 4,634 4,648 5,296 5,627 5,644 9,268 9,296 9,877 11,254 11,288 18,536 19,754 22,508 22,576 27,473 37,072 39,389 39,508 45,016 54,946 78,778 79,016 90,032 109,892 157,556

Collatz Trajectory (168 steps to reach 1)

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

52,308,592 26,154,296 13,077,148 6,538,574 3,269,287 9,807,862 4,903,931 14,711,794 7,355,897 22,067,692 11,033,846 5,516,923 16,550,770 8,275,385 24,826,156 12,413,078 6,206,539 18,619,618 9,309,809 27,929,428 13,964,714 6,982,357 20,947,072 10,473,536 5,236,768 2,618,384 1,309,192 654,596 327,298 163,649 490,948 245,474 122,737 368,212 184,106 92,053 276,160 138,080 69,040 34,520 17,260 8,630 4,315 12,946 6,473 19,420 9,710 4,855 14,566 7,283 21,850 10,925 32,776 16,388 8,194 4,097 12,292 6,146 3,073 9,220

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