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Atlas › Integer Profiles › Node 41,325,914

41,325,914

2 × 72 × 31 × 61 × 223
Deficient Even Composite

41,325,914 factors as 2 × 7^2 × 31 × 61 × 223. Its 48 positive divisors give a proper-divisor sum of 34,669,222, so this integer is deficient. The Collatz stopping time is 178 steps.

Prime Factor Structure

Factorization String 2 × 7^2 × 31 × 61 × 223
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 75,995,136
Proper Divisor Sum 34,669,222
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #41325887 ← → #41325919

Radix Representation

Decimal 41325914
Binary 10011101101001010101011010 (26 bits)
Octal 0o235512532
Hexadecimal 0x276955A

Divisor Catalog (48)

1 2 7 14 31 49 61 62 98 122 217 223 427 434 446 854 1,519 1,561 1,891 2,989 3,038 3,122 3,782 5,978 6,913 10,927 13,237 13,603 13,826 21,854 26,474 27,206 48,391 92,659 95,221 96,782 185,318 190,442 338,737 421,693 666,547 677,474 843,386 1,333,094 2,951,851 5,903,702 20,662,957 41,325,914

Collatz Trajectory (178 steps to reach 1)

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

41,325,914 20,662,957 61,988,872 30,994,436 15,497,218 7,748,609 23,245,828 11,622,914 5,811,457 17,434,372 8,717,186 4,358,593 13,075,780 6,537,890 3,268,945 9,806,836 4,903,418 2,451,709 7,355,128 3,677,564 1,838,782 919,391 2,758,174 1,379,087 4,137,262 2,068,631 6,205,894 3,102,947 9,308,842 4,654,421 13,963,264 6,981,632 3,490,816 1,745,408 872,704 436,352 218,176 109,088 54,544 27,272 13,636 6,818 3,409 10,228 5,114 2,557 7,672 3,836 1,918 959 2,878 1,439 4,318 2,159 6,478 3,239 9,718 4,859 14,578 7,289

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