53,323,872

2⁵ × 3 × 7 × 73 × 1087

53,323,872 factors as 2^5 × 3 × 7 × 73 × 1087. Its 96 positive divisors give a proper-divisor sum of 108,988,320, so this integer is abundant. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 7 × 73 × 1087

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 162,312,192

Proper Divisor Sum 108,988,320

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #53323843 ← → #53323873

Radix Representation

Decimal	53323872
Binary	11001011011010100001100000 (26 bits)
Octal	0o313324140
Hexadecimal	0x32DA860

Divisor Catalog (60 of 96)

1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 73 84 96 112 146 168 219 224 292 336 438 511 584 672 876 1,022 1,087 1,168 1,533 1,752 2,044 2,174 2,336 3,066 3,261 3,504 4,088 4,348 6,132 6,522 7,008 7,609 8,176 8,696 12,264 13,044 15,218 16,352 17,392 22,827 24,528 26,088 30,436

Collatz Trajectory (137 steps to reach 1)

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

53,323,872 26,661,936 13,330,968 6,665,484 3,332,742 1,666,371 4,999,114 2,499,557 7,498,672 3,749,336 1,874,668 937,334 468,667 1,406,002 703,001 2,109,004 1,054,502 527,251 1,581,754 790,877 2,372,632 1,186,316 593,158 296,579 889,738 444,869 1,334,608 667,304 333,652 166,826 83,413 250,240 125,120 62,560 31,280 15,640 7,820 3,910 1,955 5,866 2,933 8,800 4,400 2,200 1,100 550 275 826 413 1,240 620 310 155 466 233 700 350 175 526 263

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