25,752,000

2⁶ × 3 × 5³ × 29 × 37

25,752,000 factors as 2^6 × 3 × 5^3 × 29 × 37. Its 224 positive divisors give a proper-divisor sum of 64,590,720, so this integer is abundant. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 2^6 × 3 × 5^3 × 29 × 37

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 224

Divisor Sum (σ) 90,342,720

Proper Divisor Sum 64,590,720

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #25751989 ← → #25752007

Radix Representation

Decimal	25752000
Binary	1100010001111000111000000 (25 bits)
Octal	0o142170700
Hexadecimal	0x188F1C0

Divisor Catalog (60 of 224)

1 2 3 4 5 6 8 10 12 15 16 20 24 25 29 30 32 37 40 48 50 58 60 64 74 75 80 87 96 100 111 116 120 125 145 148 150 160 174 185 192 200 222 232 240 250 290 296 300 320 348 370 375 400 435 444 464 480 500 555

Collatz Trajectory (167 steps to reach 1)

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

25,752,000 12,876,000 6,438,000 3,219,000 1,609,500 804,750 402,375 1,207,126 603,563 1,810,690 905,345 2,716,036 1,358,018 679,009 2,037,028 1,018,514 509,257 1,527,772 763,886 381,943 1,145,830 572,915 1,718,746 859,373 2,578,120 1,289,060 644,530 322,265 966,796 483,398 241,699 725,098 362,549 1,087,648 543,824 271,912 135,956 67,978 33,989 101,968 50,984 25,492 12,746 6,373 19,120 9,560 4,780 2,390 1,195 3,586 1,793 5,380 2,690 1,345 4,036 2,018 1,009 3,028 1,514 757

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