3,676,504

2³ × 13 × 23 × 29 × 53

3,676,504 has digital root 4. The neighboring primes are 3676493 and 3676513; its proper-divisor sum differs from the starting integer by 811,792.

Prime Factor Structure

Factorization String 2^3 × 13 × 23 × 29 × 53

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 8,164,800

Proper Divisor Sum 4,488,296

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #3676493 ← → #3676513

Radix Representation

Decimal	3676504
Binary	1110000001100101011000 (22 bits)
Octal	0o16014530
Hexadecimal	0x381958

Divisor Catalog (60 of 64)

1 2 4 8 13 23 26 29 46 52 53 58 92 104 106 116 184 212 232 299 377 424 598 667 689 754 1,196 1,219 1,334 1,378 1,508 1,537 2,392 2,438 2,668 2,756 3,016 3,074 4,876 5,336 5,512 6,148 8,671 9,752 12,296 15,847 17,342 19,981 31,694 34,684 35,351 39,962 63,388 69,368 70,702 79,924 126,776 141,404 159,848 282,808

Collatz Trajectory (216 steps to reach 1)

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

3,676,504 1,838,252 919,126 459,563 1,378,690 689,345 2,068,036 1,034,018 517,009 1,551,028 775,514 387,757 1,163,272 581,636 290,818 145,409 436,228 218,114 109,057 327,172 163,586 81,793 245,380 122,690 61,345 184,036 92,018 46,009 138,028 69,014 34,507 103,522 51,761 155,284 77,642 38,821 116,464 58,232 29,116 14,558 7,279 21,838 10,919 32,758 16,379 49,138 24,569 73,708 36,854 18,427 55,282 27,641 82,924 41,462 20,731 62,194 31,097 93,292 46,646 23,323

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