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Atlas › Integer Profiles › Node 61,576,840

61,576,840

23 × 5 × 132 × 9109
Abundant Even Composite

61,576,840 factors as 2^3 × 5 × 13^2 × 9109. Its 48 positive divisors give a proper-divisor sum of 88,464,860, so this integer is abundant. The Collatz stopping time is 220 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 13^2 × 9109
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 150,041,700
Proper Divisor Sum 88,464,860
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #61576811 ← → #61576849

Radix Representation

Decimal 61576840
Binary 11101010111001011010001000 (26 bits)
Octal 0o352713210
Hexadecimal 0x3AB9688

Divisor Catalog (48)

1 2 4 5 8 10 13 20 26 40 52 65 104 130 169 260 338 520 676 845 1,352 1,690 3,380 6,760 9,109 18,218 36,436 45,545 72,872 91,090 118,417 182,180 236,834 364,360 473,668 592,085 947,336 1,184,170 1,539,421 2,368,340 3,078,842 4,736,680 6,157,684 7,697,105 12,315,368 15,394,210 30,788,420 61,576,840

Collatz Trajectory (220 steps to reach 1)

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

61,576,840 30,788,420 15,394,210 7,697,105 23,091,316 11,545,658 5,772,829 17,318,488 8,659,244 4,329,622 2,164,811 6,494,434 3,247,217 9,741,652 4,870,826 2,435,413 7,306,240 3,653,120 1,826,560 913,280 456,640 228,320 114,160 57,080 28,540 14,270 7,135 21,406 10,703 32,110 16,055 48,166 24,083 72,250 36,125 108,376 54,188 27,094 13,547 40,642 20,321 60,964 30,482 15,241 45,724 22,862 11,431 34,294 17,147 51,442 25,721 77,164 38,582 19,291 57,874 28,937 86,812 43,406 21,703 65,110

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