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Atlas › Integer Profiles › Node 52,293,802

52,293,802

2 × 11 × 17 × 37 × 3779
Deficient Even Composite

52,293,802 factors as 2 × 11 × 17 × 37 × 3779. Its 32 positive divisors give a proper-divisor sum of 40,784,918, so this integer is deficient. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 2 × 11 × 17 × 37 × 3779
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 93,078,720
Proper Divisor Sum 40,784,918
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #52293793 ← → #52293809

Radix Representation

Decimal 52293802
Binary 11000111011111000010101010 (26 bits)
Octal 0o307370252
Hexadecimal 0x31DF0AA

Divisor Catalog (32)

1 2 11 17 22 34 37 74 187 374 407 629 814 1,258 3,779 6,919 7,558 13,838 41,569 64,243 83,138 128,486 139,823 279,646 706,673 1,413,346 1,538,053 2,376,991 3,076,106 4,753,982 26,146,901 52,293,802

Collatz Trajectory (93 steps to reach 1)

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

52,293,802 26,146,901 78,440,704 39,220,352 19,610,176 9,805,088 4,902,544 2,451,272 1,225,636 612,818 306,409 919,228 459,614 229,807 689,422 344,711 1,034,134 517,067 1,551,202 775,601 2,326,804 1,163,402 581,701 1,745,104 872,552 436,276 218,138 109,069 327,208 163,604 81,802 40,901 122,704 61,352 30,676 15,338 7,669 23,008 11,504 5,752 2,876 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232

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