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Atlas › Integer Profiles › Node 59,005,546

59,005,546

2 × 29 × 43 × 59 × 401
Deficient Even Composite

59,005,546 factors as 2 × 29 × 43 × 59 × 401. Its 32 positive divisors give a proper-divisor sum of 36,509,654, so this integer is deficient. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 2 × 29 × 43 × 59 × 401
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 95,515,200
Proper Divisor Sum 36,509,654
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #59005543 ← → #59005559

Radix Representation

Decimal 59005546
Binary 11100001000101101001101010 (26 bits)
Octal 0o341055152
Hexadecimal 0x3845A6A

Divisor Catalog (32)

1 2 29 43 58 59 86 118 401 802 1,247 1,711 2,494 2,537 3,422 5,074 11,629 17,243 23,258 23,659 34,486 47,318 73,573 147,146 500,047 686,111 1,000,094 1,017,337 1,372,222 2,034,674 29,502,773 59,005,546

Collatz Trajectory (207 steps to reach 1)

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

59,005,546 29,502,773 88,508,320 44,254,160 22,127,080 11,063,540 5,531,770 2,765,885 8,297,656 4,148,828 2,074,414 1,037,207 3,111,622 1,555,811 4,667,434 2,333,717 7,001,152 3,500,576 1,750,288 875,144 437,572 218,786 109,393 328,180 164,090 82,045 246,136 123,068 61,534 30,767 92,302 46,151 138,454 69,227 207,682 103,841 311,524 155,762 77,881 233,644 116,822 58,411 175,234 87,617 262,852 131,426 65,713 197,140 98,570 49,285 147,856 73,928 36,964 18,482 9,241 27,724 13,862 6,931 20,794 10,397

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