41,007,096

2³ × 3² × 13 × 193 × 227

41,007,096 factors as 2^3 × 3^2 × 13 × 193 × 227. Its 96 positive divisors give a proper-divisor sum of 79,746,264, so this integer is abundant. The Collatz stopping time is 253 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 13 × 193 × 227

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 120,753,360

Proper Divisor Sum 79,746,264

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #41007089 ← → #41007097

Radix Representation

Decimal	41007096
Binary	10011100011011011111111000 (26 bits)
Octal	0o234333770
Hexadecimal	0x271B7F8

Divisor Catalog (60 of 96)

1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 193 227 234 312 386 454 468 579 681 772 908 936 1,158 1,362 1,544 1,737 1,816 2,043 2,316 2,509 2,724 2,951 3,474 4,086 4,632 5,018 5,448 5,902 6,948 7,527 8,172 8,853 10,036 11,804 13,896 15,054 16,344 17,706 20,072 22,581

Collatz Trajectory (253 steps to reach 1)

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

41,007,096 20,503,548 10,251,774 5,125,887 15,377,662 7,688,831 23,066,494 11,533,247 34,599,742 17,299,871 51,899,614 25,949,807 77,849,422 38,924,711 116,774,134 58,387,067 175,161,202 87,580,601 262,741,804 131,370,902 65,685,451 197,056,354 98,528,177 295,584,532 147,792,266 73,896,133 221,688,400 110,844,200 55,422,100 27,711,050 13,855,525 41,566,576 20,783,288 10,391,644 5,195,822 2,597,911 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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