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Atlas › Integer Profiles › Node 25,155,088

25,155,088

24 × 7 × 19 × 11821
Abundant Even Composite

25,155,088 factors as 2^4 × 7 × 19 × 11821. Its 40 positive divisors give a proper-divisor sum of 33,482,032, so this integer is abundant. The Collatz stopping time is 136 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 19 × 11821
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 58,637,120
Proper Divisor Sum 33,482,032
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #25155073 ← → #25155103

Radix Representation

Decimal 25155088
Binary 1011111111101011000010000 (25 bits)
Octal 0o137753020
Hexadecimal 0x17FD610

Divisor Catalog (40)

1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 266 304 532 1,064 2,128 11,821 23,642 47,284 82,747 94,568 165,494 189,136 224,599 330,988 449,198 661,976 898,396 1,323,952 1,572,193 1,796,792 3,144,386 3,593,584 6,288,772 12,577,544 25,155,088

Collatz Trajectory (136 steps to reach 1)

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

25,155,088 12,577,544 6,288,772 3,144,386 1,572,193 4,716,580 2,358,290 1,179,145 3,537,436 1,768,718 884,359 2,653,078 1,326,539 3,979,618 1,989,809 5,969,428 2,984,714 1,492,357 4,477,072 2,238,536 1,119,268 559,634 279,817 839,452 419,726 209,863 629,590 314,795 944,386 472,193 1,416,580 708,290 354,145 1,062,436 531,218 265,609 796,828 398,414 199,207 597,622 298,811 896,434 448,217 1,344,652 672,326 336,163 1,008,490 504,245 1,512,736 756,368 378,184 189,092 94,546 47,273 141,820 70,910 35,455 106,366 53,183 159,550

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