25,215,400

2³ × 5² × 7² × 31 × 83

25,215,400 factors as 2^3 × 5^2 × 7^2 × 31 × 83. Its 144 positive divisors give a proper-divisor sum of 46,030,040, so this integer is abundant. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 2^3 × 5^2 × 7^2 × 31 × 83

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 71,245,440

Proper Divisor Sum 46,030,040

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #25215371 ← → #25215401

Radix Representation

Decimal	25215400
Binary	1100000001100000110101000 (25 bits)
Octal	0o140140650
Hexadecimal	0x180C1A8

Divisor Catalog (60 of 144)

1 2 4 5 7 8 10 14 20 25 28 31 35 40 49 50 56 62 70 83 98 100 124 140 155 166 175 196 200 217 245 248 280 310 332 350 392 415 434 490 581 620 664 700 775 830 868 980 1,085 1,162 1,225 1,240 1,400 1,519 1,550 1,660 1,736 1,960 2,075 2,170

Collatz Trajectory (92 steps to reach 1)

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

25,215,400 12,607,700 6,303,850 3,151,925 9,455,776 4,727,888 2,363,944 1,181,972 590,986 295,493 886,480 443,240 221,620 110,810 55,405 166,216 83,108 41,554 20,777 62,332 31,166 15,583 46,750 23,375 70,126 35,063 105,190 52,595 157,786 78,893 236,680 118,340 59,170 29,585 88,756 44,378 22,189 66,568 33,284 16,642 8,321 24,964 12,482 6,241 18,724 9,362 4,681 14,044 7,022 3,511 10,534 5,267 15,802 7,901 23,704 11,852 5,926 2,963 8,890 4,445

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