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Atlas › Integer Profiles › Node 24,197,880

24,197,880

23 × 3 × 5 × 7 × 28807
Abundant Even Composite

24,197,880 factors as 2^3 × 3 × 5 × 7 × 28807. Its 64 positive divisors give a proper-divisor sum of 58,769,160, so this integer is abundant. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 7 × 28807
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 82,967,040
Proper Divisor Sum 58,769,160
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #24197869 ← → #24197881

Radix Representation

Decimal 24197880
Binary 1011100010011101011111000 (25 bits)
Octal 0o134235370
Hexadecimal 0x1713AF8

Divisor Catalog (60 of 64)

1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 28,807 57,614 86,421 115,228 144,035 172,842 201,649 230,456 288,070 345,684 403,298 432,105 576,140 604,947 691,368 806,596 864,210 1,008,245 1,152,280 1,209,894 1,613,192 1,728,420 2,016,490 2,419,788 3,024,735 3,456,840 4,032,980 4,839,576

Collatz Trajectory (92 steps to reach 1)

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

24,197,880 12,098,940 6,049,470 3,024,735 9,074,206 4,537,103 13,611,310 6,805,655 20,416,966 10,208,483 30,625,450 15,312,725 45,938,176 22,969,088 11,484,544 5,742,272 2,871,136 1,435,568 717,784 358,892 179,446 89,723 269,170 134,585 403,756 201,878 100,939 302,818 151,409 454,228 227,114 113,557 340,672 170,336 85,168 42,584 21,292 10,646 5,323 15,970 7,985 23,956 11,978 5,989 17,968 8,984 4,492 2,246 1,123 3,370 1,685 5,056 2,528 1,264 632 316 158 79 238 119

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