λ
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Atlas › Integer Profiles › Node 23,259,136

23,259,136

211 × 41 × 277
Abundant Even Composite

23,259,136 factors as 2^11 × 41 × 277. Its 48 positive divisors give a proper-divisor sum of 24,554,084, so this integer is abundant. The Collatz stopping time is 141 steps.

Prime Factor Structure

Factorization String 2^11 × 41 × 277
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 47,813,220
Proper Divisor Sum 24,554,084
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #23259133 ← → #23259149

Radix Representation

Decimal 23259136
Binary 1011000101110100000000000 (25 bits)
Octal 0o130564000
Hexadecimal 0x162E800

Divisor Catalog (48)

1 2 4 8 16 32 41 64 82 128 164 256 277 328 512 554 656 1,024 1,108 1,312 2,048 2,216 2,624 4,432 5,248 8,864 10,496 11,357 17,728 20,992 22,714 35,456 41,984 45,428 70,912 83,968 90,856 141,824 181,712 283,648 363,424 567,296 726,848 1,453,696 2,907,392 5,814,784 11,629,568 23,259,136

Collatz Trajectory (141 steps to reach 1)

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

23,259,136 11,629,568 5,814,784 2,907,392 1,453,696 726,848 363,424 181,712 90,856 45,428 22,714 11,357 34,072 17,036 8,518 4,259 12,778 6,389 19,168 9,584 4,792 2,396 1,198 599 1,798 899 2,698 1,349 4,048 2,024 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155 466 233 700

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