2,637,765

3⁵ × 5 × 13 × 167

2,637,765 has the prime decomposition 3^5 × 5 × 13 × 167. Its 4 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 3^5 × 5 × 13 × 167

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 5,136,768

Proper Divisor Sum 2,499,003

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #2637763 ← → #2637769

Radix Representation

Decimal	2637765
Binary	1010000011111111000101 (22 bits)
Octal	0o12037705
Hexadecimal	0x283FC5

Divisor Catalog (48)

1 3 5 9 13 15 27 39 45 65 81 117 135 167 195 243 351 405 501 585 835 1,053 1,215 1,503 1,755 2,171 2,505 3,159 4,509 5,265 6,513 7,515 10,855 13,527 15,795 19,539 22,545 32,565 40,581 58,617 67,635 97,695 175,851 202,905 293,085 527,553 879,255 2,637,765

Collatz Trajectory (99 steps to reach 1)

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

2,637,765 7,913,296 3,956,648 1,978,324 989,162 494,581 1,483,744 741,872 370,936 185,468 92,734 46,367 139,102 69,551 208,654 104,327 312,982 156,491 469,474 234,737 704,212 352,106 176,053 528,160 264,080 132,040 66,020 33,010 16,505 49,516 24,758 12,379 37,138 18,569 55,708 27,854 13,927 41,782 20,891 62,674 31,337 94,012 47,006 23,503 70,510 35,255 105,766 52,883 158,650 79,325 237,976 118,988 59,494 29,747 89,242 44,621 133,864 66,932 33,466 16,733

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