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Atlas › Integer Profiles › Node 41,007,072

41,007,072

25 × 3 × 347 × 1231
Abundant Even Composite

41,007,072 factors as 2^5 × 3 × 347 × 1231. Its 48 positive divisors give a proper-divisor sum of 67,034,400, so this integer is abundant. The Collatz stopping time is 253 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 347 × 1231
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 108,041,472
Proper Divisor Sum 67,034,400
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #41007059 ← → #41007089

Radix Representation

Decimal 41007072
Binary 10011100011011011111100000 (26 bits)
Octal 0o234333740
Hexadecimal 0x271B7E0

Divisor Catalog (48)

1 2 3 4 6 8 12 16 24 32 48 96 347 694 1,041 1,231 1,388 2,082 2,462 2,776 3,693 4,164 4,924 5,552 7,386 8,328 9,848 11,104 14,772 16,656 19,696 29,544 33,312 39,392 59,088 118,176 427,157 854,314 1,281,471 1,708,628 2,562,942 3,417,256 5,125,884 6,834,512 10,251,768 13,669,024 20,503,536 41,007,072

Collatz Trajectory (253 steps to reach 1)

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

41,007,072 20,503,536 10,251,768 5,125,884 2,562,942 1,281,471 3,844,414 1,922,207 5,766,622 2,883,311 8,649,934 4,324,967 12,974,902 6,487,451 19,462,354 9,731,177 29,193,532 14,596,766 7,298,383 21,895,150 10,947,575 32,842,726 16,421,363 49,264,090 24,632,045 73,896,136 36,948,068 18,474,034 9,237,017 27,711,052 13,855,526 6,927,763 20,783,290 10,391,645 31,174,936 15,587,468 7,793,734 3,896,867 11,690,602 5,845,301 17,535,904 8,767,952 4,383,976 2,191,988 1,095,994 547,997 1,643,992 821,996 410,998 205,499 616,498 308,249 924,748 462,374 231,187 693,562 346,781 1,040,344 520,172 260,086

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