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5,809,752

23 × 33 × 13 × 2069
Abundant Even Composite

5,809,752 factors as 2^3 × 3^3 × 13 × 2069. Its 64 positive divisors give a proper-divisor sum of 11,578,248, so this integer is abundant. The Collatz stopping time is 170 steps.

Prime Factor Structure

Factorization String 2^3 × 3^3 × 13 × 2069
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 17,388,000
Proper Divisor Sum 11,578,248
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5809747 ← → #5809753

Radix Representation

Decimal 5809752
Binary 10110001010011001011000 (23 bits)
Octal 0o26123130
Hexadecimal 0x58A658

Divisor Catalog (60 of 64)

1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1,404 2,069 2,808 4,138 6,207 8,276 12,414 16,552 18,621 24,828 26,897 37,242 49,656 53,794 55,863 74,484 80,691 107,588 111,726 148,968 161,382 215,176 223,452 242,073 322,764 446,904 484,146 645,528 726,219 968,292

Collatz Trajectory (170 steps to reach 1)

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

5,809,752 2,904,876 1,452,438 726,219 2,178,658 1,089,329 3,267,988 1,633,994 816,997 2,450,992 1,225,496 612,748 306,374 153,187 459,562 229,781 689,344 344,672 172,336 86,168 43,084 21,542 10,771 32,314 16,157 48,472 24,236 12,118 6,059 18,178 9,089 27,268 13,634 6,817 20,452 10,226 5,113 15,340 7,670 3,835 11,506 5,753 17,260 8,630 4,315 12,946 6,473 19,420 9,710 4,855 14,566 7,283 21,850 10,925 32,776 16,388 8,194 4,097 12,292 6,146

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