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Atlas › Integer Profiles › Node 5,961,114

5,961,114

2 × 34 × 31 × 1187
Abundant Even Composite

5,961,114 factors as 2 × 3^4 × 31 × 1187. Its 40 positive divisors give a proper-divisor sum of 7,838,694, so this integer is abundant. The Collatz stopping time is 121 steps.

Prime Factor Structure

Factorization String 2 × 3^4 × 31 × 1187
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 13,799,808
Proper Divisor Sum 7,838,694
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #5961097 ← → #5961119

Radix Representation

Decimal 5961114
Binary 10110101111010110011010 (23 bits)
Octal 0o26572632
Hexadecimal 0x5AF59A

Divisor Catalog (40)

1 2 3 6 9 18 27 31 54 62 81 93 162 186 279 558 837 1,187 1,674 2,374 2,511 3,561 5,022 7,122 10,683 21,366 32,049 36,797 64,098 73,594 96,147 110,391 192,294 220,782 331,173 662,346 993,519 1,987,038 2,980,557 5,961,114

Collatz Trajectory (121 steps to reach 1)

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

5,961,114 2,980,557 8,941,672 4,470,836 2,235,418 1,117,709 3,353,128 1,676,564 838,282 419,141 1,257,424 628,712 314,356 157,178 78,589 235,768 117,884 58,942 29,471 88,414 44,207 132,622 66,311 198,934 99,467 298,402 149,201 447,604 223,802 111,901 335,704 167,852 83,926 41,963 125,890 62,945 188,836 94,418 47,209 141,628 70,814 35,407 106,222 53,111 159,334 79,667 239,002 119,501 358,504 179,252 89,626 44,813 134,440 67,220 33,610 16,805 50,416 25,208 12,604 6,302

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