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Atlas › Integer Profiles › Node 53,420,672

53,420,672

27 × 149 × 2801
Abundant Even Composite

53,420,672 factors as 2^7 × 149 × 2801. Its 32 positive divisors give a proper-divisor sum of 53,755,828, so this integer is abundant. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 2^7 × 149 × 2801
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 107,176,500
Proper Divisor Sum 53,755,828
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #53420671 ← → #53420683

Radix Representation

Decimal 53420672
Binary 11001011110010001010000000 (26 bits)
Octal 0o313621200
Hexadecimal 0x32F2280

Divisor Catalog (32)

1 2 4 8 16 32 64 128 149 298 596 1,192 2,384 2,801 4,768 5,602 9,536 11,204 19,072 22,408 44,816 89,632 179,264 358,528 417,349 834,698 1,669,396 3,338,792 6,677,584 13,355,168 26,710,336 53,420,672

Collatz Trajectory (93 steps to reach 1)

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

53,420,672 26,710,336 13,355,168 6,677,584 3,338,792 1,669,396 834,698 417,349 1,252,048 626,024 313,012 156,506 78,253 234,760 117,380 58,690 29,345 88,036 44,018 22,009 66,028 33,014 16,507 49,522 24,761 74,284 37,142 18,571 55,714 27,857 83,572 41,786 20,893 62,680 31,340 15,670 7,835 23,506 11,753 35,260 17,630 8,815 26,446 13,223 39,670 19,835 59,506 29,753 89,260 44,630 22,315 66,946 33,473 100,420 50,210 25,105 75,316 37,658 18,829 56,488

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