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Atlas › Integer Profiles › Node 3,977,480

3,977,480

23 × 5 × 13 × 7649
Abundant Even Composite

3,977,480 factors as 2^3 × 5 × 13 × 7649. Its 32 positive divisors give a proper-divisor sum of 5,661,520, so this integer is abundant. The Collatz stopping time is 154 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 13 × 7649
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 9,639,000
Proper Divisor Sum 5,661,520
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #3977471 ← → #3977483

Radix Representation

Decimal 3977480
Binary 1111001011000100001000 (22 bits)
Octal 0o17130410
Hexadecimal 0x3CB108

Divisor Catalog (32)

1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 7,649 15,298 30,596 38,245 61,192 76,490 99,437 152,980 198,874 305,960 397,748 497,185 795,496 994,370 1,988,740 3,977,480

Collatz Trajectory (154 steps to reach 1)

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

3,977,480 1,988,740 994,370 497,185 1,491,556 745,778 372,889 1,118,668 559,334 279,667 839,002 419,501 1,258,504 629,252 314,626 157,313 471,940 235,970 117,985 353,956 176,978 88,489 265,468 132,734 66,367 199,102 99,551 298,654 149,327 447,982 223,991 671,974 335,987 1,007,962 503,981 1,511,944 755,972 377,986 188,993 566,980 283,490 141,745 425,236 212,618 106,309 318,928 159,464 79,732 39,866 19,933 59,800 29,900 14,950 7,475 22,426 11,213 33,640 16,820 8,410 4,205

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