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Atlas › Integer Profiles › Node 41,002,494

41,002,494

2 × 3 × 13 × 19 × 73 × 379
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 13 × 19 × 73 × 379
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 94,483,200
Proper Divisor Sum 53,480,706
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #41002483 ← → #41002499

Radix Representation

Decimal 41002494
Binary 10011100011010010111111110 (26 bits)
Octal 0o234322776
Hexadecimal 0x271A5FE

Divisor Catalog (60 of 64)

1 2 3 6 13 19 26 38 39 57 73 78 114 146 219 247 379 438 494 741 758 949 1,137 1,387 1,482 1,898 2,274 2,774 2,847 4,161 4,927 5,694 7,201 8,322 9,854 14,402 14,781 18,031 21,603 27,667 29,562 36,062 43,206 54,093 55,334 83,001 93,613 108,186 166,002 187,226 280,839 359,671 525,673 561,678 719,342 1,051,346 1,079,013 1,577,019 2,158,026 3,154,038

Collatz Trajectory (129 steps to reach 1)

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

41,002,494 20,501,247 61,503,742 30,751,871 92,255,614 46,127,807 138,383,422 69,191,711 207,575,134 103,787,567 311,362,702 155,681,351 467,044,054 233,522,027 700,566,082 350,283,041 1,050,849,124 525,424,562 262,712,281 788,136,844 394,068,422 197,034,211 591,102,634 295,551,317 886,653,952 443,326,976 221,663,488 110,831,744 55,415,872 27,707,936 13,853,968 6,926,984 3,463,492 1,731,746 865,873 2,597,620 1,298,810 649,405 1,948,216 974,108 487,054 243,527 730,582 365,291 1,095,874 547,937 1,643,812 821,906 410,953 1,232,860 616,430 308,215 924,646 462,323 1,386,970 693,485 2,080,456 1,040,228 520,114 260,057

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