24,636,400

2⁴ × 5² × 17 × 3623

24,636,400 factors as 2^4 × 5^2 × 17 × 3623. Its 60 positive divisors give a proper-divisor sum of 38,051,552, so this integer is abundant. The Collatz stopping time is 229 steps.

Prime Factor Structure

Factorization String 2^4 × 5^2 × 17 × 3623

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 62,687,952

Proper Divisor Sum 38,051,552

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #24636397 ← → #24636419

Radix Representation

Decimal	24636400
Binary	1011101111110101111110000 (25 bits)
Octal	0o135765760
Hexadecimal	0x177EBF0

Divisor Catalog (60)

1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 136 170 200 272 340 400 425 680 850 1,360 1,700 3,400 3,623 6,800 7,246 14,492 18,115 28,984 36,230 57,968 61,591 72,460 90,575 123,182 144,920 181,150 246,364 289,840 307,955 362,300 492,728 615,910 724,600 985,456 1,231,820 1,449,200 1,539,775 2,463,640 3,079,550 4,927,280 6,159,100 12,318,200 24,636,400

Collatz Trajectory (229 steps to reach 1)

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

24,636,400 12,318,200 6,159,100 3,079,550 1,539,775 4,619,326 2,309,663 6,928,990 3,464,495 10,393,486 5,196,743 15,590,230 7,795,115 23,385,346 11,692,673 35,078,020 17,539,010 8,769,505 26,308,516 13,154,258 6,577,129 19,731,388 9,865,694 4,932,847 14,798,542 7,399,271 22,197,814 11,098,907 33,296,722 16,648,361 49,945,084 24,972,542 12,486,271 37,458,814 18,729,407 56,188,222 28,094,111 84,282,334 42,141,167 126,423,502 63,211,751 189,635,254 94,817,627 284,452,882 142,226,441 426,679,324 213,339,662 106,669,831 320,009,494 160,004,747 480,014,242 240,007,121 720,021,364 360,010,682 180,005,341 540,016,024 270,008,012 135,004,006 67,502,003 202,506,010

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