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5,966,480

24 × 5 × 13 × 5737
Abundant Even Composite

5,966,480 factors as 2^4 × 5 × 13 × 5737. Its 40 positive divisors give a proper-divisor sum of 8,975,272, so this integer is abundant. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 13 × 5737
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 14,941,752
Proper Divisor Sum 8,975,272
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #5966459 ← → #5966483

Radix Representation

Decimal 5966480
Binary 10110110000101010010000 (23 bits)
Octal 0o26605220
Hexadecimal 0x5B0A90

Divisor Catalog (40)

1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1,040 5,737 11,474 22,948 28,685 45,896 57,370 74,581 91,792 114,740 149,162 229,480 298,324 372,905 458,960 596,648 745,810 1,193,296 1,491,620 2,983,240 5,966,480

Collatz Trajectory (165 steps to reach 1)

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

5,966,480 2,983,240 1,491,620 745,810 372,905 1,118,716 559,358 279,679 839,038 419,519 1,258,558 629,279 1,887,838 943,919 2,831,758 1,415,879 4,247,638 2,123,819 6,371,458 3,185,729 9,557,188 4,778,594 2,389,297 7,167,892 3,583,946 1,791,973 5,375,920 2,687,960 1,343,980 671,990 335,995 1,007,986 503,993 1,511,980 755,990 377,995 1,133,986 566,993 1,700,980 850,490 425,245 1,275,736 637,868 318,934 159,467 478,402 239,201 717,604 358,802 179,401 538,204 269,102 134,551 403,654 201,827 605,482 302,741 908,224 454,112 227,056

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