5,884,640

2⁵ × 5 × 36779

5,884,640 factors as 2^5 × 5 × 36779. Its 24 positive divisors give a proper-divisor sum of 8,018,200, so this integer is abundant. The Collatz stopping time is 152 steps.

Prime Factor Structure

Factorization String 2^5 × 5 × 36779

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 13,902,840

Proper Divisor Sum 8,018,200

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #5884639 ← → #5884649

Radix Representation

Decimal	5884640
Binary	10110011100101011100000 (23 bits)
Octal	0o26345340
Hexadecimal	0x59CAE0

Divisor Catalog (24)

Collatz Trajectory (152 steps to reach 1)

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

5,884,640 2,942,320 1,471,160 735,580 367,790 183,895 551,686 275,843 827,530 413,765 1,241,296 620,648 310,324 155,162 77,581 232,744 116,372 58,186 29,093 87,280 43,640 21,820 10,910 5,455 16,366 8,183 24,550 12,275 36,826 18,413 55,240 27,620 13,810 6,905 20,716 10,358 5,179 15,538 7,769 23,308 11,654 5,827 17,482 8,741 26,224 13,112 6,556 3,278 1,639 4,918 2,459 7,378 3,689 11,068 5,534 2,767 8,302 4,151 12,454 6,227

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