61,357,446

2 × 3³ × 29 × 39181

61,357,446 factors as 2 × 3^3 × 29 × 39181. Its 32 positive divisors give a proper-divisor sum of 79,697,754, so this integer is abundant. The Collatz stopping time is 220 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 29 × 39181

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 141,055,200

Proper Divisor Sum 79,697,754

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #61357427 ← → #61357453

Radix Representation

Decimal	61357446
Binary	11101010000011110110000110 (26 bits)
Octal	0o352036606
Hexadecimal	0x3A83D86

Divisor Catalog (32)

Collatz Trajectory (220 steps to reach 1)

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

61,357,446 30,678,723 92,036,170 46,018,085 138,054,256 69,027,128 34,513,564 17,256,782 8,628,391 25,885,174 12,942,587 38,827,762 19,413,881 58,241,644 29,120,822 14,560,411 43,681,234 21,840,617 65,521,852 32,760,926 16,380,463 49,141,390 24,570,695 73,712,086 36,856,043 110,568,130 55,284,065 165,852,196 82,926,098 41,463,049 124,389,148 62,194,574 31,097,287 93,291,862 46,645,931 139,937,794 69,968,897 209,906,692 104,953,346 52,476,673 157,430,020 78,715,010 39,357,505 118,072,516 59,036,258 29,518,129 88,554,388 44,277,194 22,138,597 66,415,792 33,207,896 16,603,948 8,301,974 4,150,987 12,452,962 6,226,481 18,679,444 9,339,722 4,669,861 14,009,584

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