54,833,272

2³ × 13 × 467 × 1129

54,833,272 factors as 2^3 × 13 × 467 × 1129. Its 32 positive divisors give a proper-divisor sum of 56,223,128, so this integer is abundant. The Collatz stopping time is 225 steps.

Prime Factor Structure

Factorization String 2^3 × 13 × 467 × 1129

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 111,056,400

Proper Divisor Sum 56,223,128

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #54833267 ← → #54833309

Radix Representation

Decimal	54833272
Binary	11010001001011000001111000 (26 bits)
Octal	0o321130170
Hexadecimal	0x344B078

Divisor Catalog (32)

Collatz Trajectory (225 steps to reach 1)

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

54,833,272 27,416,636 13,708,318 6,854,159 20,562,478 10,281,239 30,843,718 15,421,859 46,265,578 23,132,789 69,398,368 34,699,184 17,349,592 8,674,796 4,337,398 2,168,699 6,506,098 3,253,049 9,759,148 4,879,574 2,439,787 7,319,362 3,659,681 10,979,044 5,489,522 2,744,761 8,234,284 4,117,142 2,058,571 6,175,714 3,087,857 9,263,572 4,631,786 2,315,893 6,947,680 3,473,840 1,736,920 868,460 434,230 217,115 651,346 325,673 977,020 488,510 244,255 732,766 366,383 1,099,150 549,575 1,648,726 824,363 2,473,090 1,236,545 3,709,636 1,854,818 927,409 2,782,228 1,391,114 695,557 2,086,672

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