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Atlas › Integer Profiles › Node 59,360,686

59,360,686

2 × 7 × 11 × 61 × 71 × 89
Deficient Even Composite

59,360,686 factors as 2 × 7 × 11 × 61 × 71 × 89. Its 64 positive divisors give a proper-divisor sum of 56,346,194, so this integer is deficient. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 2 × 7 × 11 × 61 × 71 × 89
Distinct Prime Factors 6
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 115,706,880
Proper Divisor Sum 56,346,194
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #59360681 ← → #59360729

Radix Representation

Decimal 59360686
Binary 11100010011100010110101110 (26 bits)
Octal 0o342342656
Hexadecimal 0x389C5AE

Divisor Catalog (60 of 64)

1 2 7 11 14 22 61 71 77 89 122 142 154 178 427 497 623 671 781 854 979 994 1,246 1,342 1,562 1,958 4,331 4,697 5,429 5,467 6,319 6,853 8,662 9,394 10,858 10,934 12,638 13,706 30,317 38,003 44,233 47,641 59,719 60,634 69,509 76,006 88,466 95,282 119,438 139,018 333,487 385,459 418,033 486,563 666,974 770,918 836,066 973,126 2,698,213 4,240,049

Collatz Trajectory (176 steps to reach 1)

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

59,360,686 29,680,343 89,041,030 44,520,515 133,561,546 66,780,773 200,342,320 100,171,160 50,085,580 25,042,790 12,521,395 37,564,186 18,782,093 56,346,280 28,173,140 14,086,570 7,043,285 21,129,856 10,564,928 5,282,464 2,641,232 1,320,616 660,308 330,154 165,077 495,232 247,616 123,808 61,904 30,952 15,476 7,738 3,869 11,608 5,804 2,902 1,451 4,354 2,177 6,532 3,266 1,633 4,900 2,450 1,225 3,676 1,838 919 2,758 1,379 4,138 2,069 6,208 3,104 1,552 776 388 194 97 292

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