λ
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Atlas › Integer Profiles › Node 3,978,504

3,978,504

23 × 33 × 113 × 163
Abundant Even Composite

3,978,504 factors as 2^3 × 3^3 × 113 × 163. Its 64 positive divisors give a proper-divisor sum of 7,239,096, so this integer is abundant. The Collatz stopping time is 291 steps.

Prime Factor Structure

Factorization String 2^3 × 3^3 × 113 × 163
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 11,217,600
Proper Divisor Sum 7,239,096
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3978497 ← → #3978511

Radix Representation

Decimal 3978504
Binary 1111001011010100001000 (22 bits)
Octal 0o17132410
Hexadecimal 0x3CB508

Divisor Catalog (60 of 64)

1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 113 163 216 226 326 339 452 489 652 678 904 978 1,017 1,304 1,356 1,467 1,956 2,034 2,712 2,934 3,051 3,912 4,068 4,401 5,868 6,102 8,136 8,802 11,736 12,204 17,604 18,419 24,408 35,208 36,838 55,257 73,676 110,514 147,352 165,771 221,028 331,542 442,056 497,313 663,084

Collatz Trajectory (291 steps to reach 1)

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

3,978,504 1,989,252 994,626 497,313 1,491,940 745,970 372,985 1,118,956 559,478 279,739 839,218 419,609 1,258,828 629,414 314,707 944,122 472,061 1,416,184 708,092 354,046 177,023 531,070 265,535 796,606 398,303 1,194,910 597,455 1,792,366 896,183 2,688,550 1,344,275 4,032,826 2,016,413 6,049,240 3,024,620 1,512,310 756,155 2,268,466 1,134,233 3,402,700 1,701,350 850,675 2,552,026 1,276,013 3,828,040 1,914,020 957,010 478,505 1,435,516 717,758 358,879 1,076,638 538,319 1,614,958 807,479 2,422,438 1,211,219 3,633,658 1,816,829 5,450,488

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