λ
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Atlas › Integer Profiles › Node 59,091,956

59,091,956

22 × 7 × 11 × 173 × 1109
Abundant Even Composite

59,091,956 factors as 2^2 × 7 × 11 × 173 × 1109. Its 48 positive divisors give a proper-divisor sum of 70,698,124, so this integer is abundant. The Collatz stopping time is 163 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 11 × 173 × 1109
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 129,790,080
Proper Divisor Sum 70,698,124
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #59091953 ← → #59091961

Radix Representation

Decimal 59091956
Binary 11100001011010101111110100 (26 bits)
Octal 0o341325764
Hexadecimal 0x385ABF4

Divisor Catalog (48)

1 2 4 7 11 14 22 28 44 77 154 173 308 346 692 1,109 1,211 1,903 2,218 2,422 3,806 4,436 4,844 7,612 7,763 12,199 13,321 15,526 24,398 26,642 31,052 48,796 53,284 85,393 170,786 191,857 341,572 383,714 767,428 1,342,999 2,110,427 2,685,998 4,220,854 5,371,996 8,441,708 14,772,989 29,545,978 59,091,956

Collatz Trajectory (163 steps to reach 1)

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

59,091,956 29,545,978 14,772,989 44,318,968 22,159,484 11,079,742 5,539,871 16,619,614 8,309,807 24,929,422 12,464,711 37,394,134 18,697,067 56,091,202 28,045,601 84,136,804 42,068,402 21,034,201 63,102,604 31,551,302 15,775,651 47,326,954 23,663,477 70,990,432 35,495,216 17,747,608 8,873,804 4,436,902 2,218,451 6,655,354 3,327,677 9,983,032 4,991,516 2,495,758 1,247,879 3,743,638 1,871,819 5,615,458 2,807,729 8,423,188 4,211,594 2,105,797 6,317,392 3,158,696 1,579,348 789,674 394,837 1,184,512 592,256 296,128 148,064 74,032 37,016 18,508 9,254 4,627 13,882 6,941 20,824 10,412

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