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Atlas › Integer Profiles › Node 59,564,950

59,564,950

2 × 52 × 31 × 83 × 463
Deficient Even Composite

59,564,950 factors as 2 × 5^2 × 31 × 83 × 463. Its 48 positive divisors give a proper-divisor sum of 56,427,626, so this integer is deficient. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 31 × 83 × 463
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 115,992,576
Proper Divisor Sum 56,427,626
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #59564929 ← → #59564969

Radix Representation

Decimal 59564950
Binary 11100011001110001110010110 (26 bits)
Octal 0o343161626
Hexadecimal 0x38CE396

Divisor Catalog (48)

1 2 5 10 25 31 50 62 83 155 166 310 415 463 775 830 926 1,550 2,075 2,315 2,573 4,150 4,630 5,146 11,575 12,865 14,353 23,150 25,730 28,706 38,429 64,325 71,765 76,858 128,650 143,530 192,145 358,825 384,290 717,650 960,725 1,191,299 1,921,450 2,382,598 5,956,495 11,912,990 29,782,475 59,564,950

Collatz Trajectory (145 steps to reach 1)

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

59,564,950 29,782,475 89,347,426 44,673,713 134,021,140 67,010,570 33,505,285 100,515,856 50,257,928 25,128,964 12,564,482 6,282,241 18,846,724 9,423,362 4,711,681 14,135,044 7,067,522 3,533,761 10,601,284 5,300,642 2,650,321 7,950,964 3,975,482 1,987,741 5,963,224 2,981,612 1,490,806 745,403 2,236,210 1,118,105 3,354,316 1,677,158 838,579 2,515,738 1,257,869 3,773,608 1,886,804 943,402 471,701 1,415,104 707,552 353,776 176,888 88,444 44,222 22,111 66,334 33,167 99,502 49,751 149,254 74,627 223,882 111,941 335,824 167,912 83,956 41,978 20,989 62,968

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