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Atlas › Integer Profiles › Node 5,961,978

5,961,978

2 × 33 × 11 × 10037
Abundant Even Composite

5,961,978 factors as 2 × 3^3 × 11 × 10037. Its 32 positive divisors give a proper-divisor sum of 8,492,742, so this integer is abundant. The Collatz stopping time is 139 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 11 × 10037
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,454,720
Proper Divisor Sum 8,492,742
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #5961971 ← → #5961979

Radix Representation

Decimal 5961978
Binary 10110101111100011111010 (23 bits)
Octal 0o26574372
Hexadecimal 0x5AF8FA

Divisor Catalog (32)

1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 10,037 20,074 30,111 60,222 90,333 110,407 180,666 220,814 270,999 331,221 541,998 662,442 993,663 1,987,326 2,980,989 5,961,978

Collatz Trajectory (139 steps to reach 1)

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

5,961,978 2,980,989 8,942,968 4,471,484 2,235,742 1,117,871 3,353,614 1,676,807 5,030,422 2,515,211 7,545,634 3,772,817 11,318,452 5,659,226 2,829,613 8,488,840 4,244,420 2,122,210 1,061,105 3,183,316 1,591,658 795,829 2,387,488 1,193,744 596,872 298,436 149,218 74,609 223,828 111,914 55,957 167,872 83,936 41,968 20,984 10,492 5,246 2,623 7,870 3,935 11,806 5,903 17,710 8,855 26,566 13,283 39,850 19,925 59,776 29,888 14,944 7,472 3,736 1,868 934 467 1,402 701 2,104 1,052

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