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Atlas › Integer Profiles › Node 41,388,975

41,388,975

37 × 52 × 757
Deficient Odd Composite

41,388,975 factors as 3^7 × 5^2 × 757. Its 48 positive divisors give a proper-divisor sum of 35,684,465, so this integer is deficient. The Collatz stopping time is 209 steps.

Prime Factor Structure

Factorization String 3^7 × 5^2 × 757
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 77,073,440
Proper Divisor Sum 35,684,465
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #41388947 ← → #41388979

Radix Representation

Decimal 41388975
Binary 10011101111000101110101111 (26 bits)
Octal 0o235705657
Hexadecimal 0x2778BAF

Divisor Catalog (48)

1 3 5 9 15 25 27 45 75 81 135 225 243 405 675 729 757 1,215 2,025 2,187 2,271 3,645 3,785 6,075 6,813 10,935 11,355 18,225 18,925 20,439 34,065 54,675 56,775 61,317 102,195 170,325 183,951 306,585 510,975 551,853 919,755 1,532,925 1,655,559 2,759,265 4,598,775 8,277,795 13,796,325 41,388,975

Collatz Trajectory (209 steps to reach 1)

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

41,388,975 124,166,926 62,083,463 186,250,390 93,125,195 279,375,586 139,687,793 419,063,380 209,531,690 104,765,845 314,297,536 157,148,768 78,574,384 39,287,192 19,643,596 9,821,798 4,910,899 14,732,698 7,366,349 22,099,048 11,049,524 5,524,762 2,762,381 8,287,144 4,143,572 2,071,786 1,035,893 3,107,680 1,553,840 776,920 388,460 194,230 97,115 291,346 145,673 437,020 218,510 109,255 327,766 163,883 491,650 245,825 737,476 368,738 184,369 553,108 276,554 138,277 414,832 207,416 103,708 51,854 25,927 77,782 38,891 116,674 58,337 175,012 87,506 43,753

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