41,007,093

3 × 41 × 73 × 4567

41,007,093 factors as 3 × 41 × 73 × 4567. Its 16 positive divisors give a proper-divisor sum of 15,782,283, so this integer is deficient. The Collatz stopping time is 253 steps.

Prime Factor Structure

Factorization String 3 × 41 × 73 × 4567

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 56,789,376

Proper Divisor Sum 15,782,283

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #41007089 ← → #41007097

Radix Representation

Decimal	41007093
Binary	10011100011011011111110101 (26 bits)
Octal	0o234333765
Hexadecimal	0x271B7F5

Divisor Catalog (16)

1 3 41 73 123 219 2,993 4,567 8,979 13,701 187,247 333,391 561,741 1,000,173 13,669,031 41,007,093

Collatz Trajectory (253 steps to reach 1)

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

41,007,093 123,021,280 61,510,640 30,755,320 15,377,660 7,688,830 3,844,415 11,533,246 5,766,623 17,299,870 8,649,935 25,949,806 12,974,903 38,924,710 19,462,355 58,387,066 29,193,533 87,580,600 43,790,300 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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