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Atlas › Integer Profiles › Node 41,488,024

41,488,024

23 × 17 × 257 × 1187
Deficient Even Composite

41,488,024 factors as 2^3 × 17 × 257 × 1187. Its 32 positive divisors give a proper-divisor sum of 41,268,056, so this integer is deficient. The Collatz stopping time is 183 steps.

Prime Factor Structure

Factorization String 2^3 × 17 × 257 × 1187
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 82,756,080
Proper Divisor Sum 41,268,056
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #41487997 ← → #41488037

Radix Representation

Decimal 41488024
Binary 10011110010000111010011000 (26 bits)
Octal 0o236207230
Hexadecimal 0x2790E98

Divisor Catalog (32)

1 2 4 8 17 34 68 136 257 514 1,028 1,187 2,056 2,374 4,369 4,748 8,738 9,496 17,476 20,179 34,952 40,358 80,716 161,432 305,059 610,118 1,220,236 2,440,472 5,186,003 10,372,006 20,744,012 41,488,024

Collatz Trajectory (183 steps to reach 1)

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

41,488,024 20,744,012 10,372,006 5,186,003 15,558,010 7,779,005 23,337,016 11,668,508 5,834,254 2,917,127 8,751,382 4,375,691 13,127,074 6,563,537 19,690,612 9,845,306 4,922,653 14,767,960 7,383,980 3,691,990 1,845,995 5,537,986 2,768,993 8,306,980 4,153,490 2,076,745 6,230,236 3,115,118 1,557,559 4,672,678 2,336,339 7,009,018 3,504,509 10,513,528 5,256,764 2,628,382 1,314,191 3,942,574 1,971,287 5,913,862 2,956,931 8,870,794 4,435,397 13,306,192 6,653,096 3,326,548 1,663,274 831,637 2,494,912 1,247,456 623,728 311,864 155,932 77,966 38,983 116,950 58,475 175,426 87,713 263,140

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