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Atlas › Integer Profiles › Node 24,848,512

24,848,512

27 × 13 × 109 × 137
Abundant Even Composite

24,848,512 factors as 2^7 × 13 × 109 × 137. Its 64 positive divisors give a proper-divisor sum of 29,344,088, so this integer is abundant. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 2^7 × 13 × 109 × 137
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 54,192,600
Proper Divisor Sum 29,344,088
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #24848489 ← → #24848513

Radix Representation

Decimal 24848512
Binary 1011110110010100010000000 (25 bits)
Octal 0o136624200
Hexadecimal 0x17B2880

Divisor Catalog (60 of 64)

1 2 4 8 13 16 26 32 52 64 104 109 128 137 208 218 274 416 436 548 832 872 1,096 1,417 1,664 1,744 1,781 2,192 2,834 3,488 3,562 4,384 5,668 6,976 7,124 8,768 11,336 13,952 14,248 14,933 17,536 22,672 28,496 29,866 45,344 56,992 59,732 90,688 113,984 119,464 181,376 194,129 227,968 238,928 388,258 477,856 776,516 955,712 1,553,032 1,911,424

Collatz Trajectory (185 steps to reach 1)

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

24,848,512 12,424,256 6,212,128 3,106,064 1,553,032 776,516 388,258 194,129 582,388 291,194 145,597 436,792 218,396 109,198 54,599 163,798 81,899 245,698 122,849 368,548 184,274 92,137 276,412 138,206 69,103 207,310 103,655 310,966 155,483 466,450 233,225 699,676 349,838 174,919 524,758 262,379 787,138 393,569 1,180,708 590,354 295,177 885,532 442,766 221,383 664,150 332,075 996,226 498,113 1,494,340 747,170 373,585 1,120,756 560,378 280,189 840,568 420,284 210,142 105,071 315,214 157,607

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