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Atlas › Integer Profiles › Node 3,750,396

3,750,396

22 × 3 × 13 × 29 × 829
Abundant Even Composite

3,750,396 factors as 2^2 × 3 × 13 × 29 × 829. Its 48 positive divisors give a proper-divisor sum of 6,010,404, so this integer is abundant. The Collatz stopping time is 340 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 13 × 29 × 829
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 9,760,800
Proper Divisor Sum 6,010,404
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3750389 ← → #3750407

Radix Representation

Decimal 3750396
Binary 1110010011100111111100 (22 bits)
Octal 0o16234774
Hexadecimal 0x3939FC

Divisor Catalog (48)

1 2 3 4 6 12 13 26 29 39 52 58 78 87 116 156 174 348 377 754 829 1,131 1,508 1,658 2,262 2,487 3,316 4,524 4,974 9,948 10,777 21,554 24,041 32,331 43,108 48,082 64,662 72,123 96,164 129,324 144,246 288,492 312,533 625,066 937,599 1,250,132 1,875,198 3,750,396

Collatz Trajectory (340 steps to reach 1)

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

3,750,396 1,875,198 937,599 2,812,798 1,406,399 4,219,198 2,109,599 6,328,798 3,164,399 9,493,198 4,746,599 14,239,798 7,119,899 21,359,698 10,679,849 32,039,548 16,019,774 8,009,887 24,029,662 12,014,831 36,044,494 18,022,247 54,066,742 27,033,371 81,100,114 40,550,057 121,650,172 60,825,086 30,412,543 91,237,630 45,618,815 136,856,446 68,428,223 205,284,670 102,642,335 307,927,006 153,963,503 461,890,510 230,945,255 692,835,766 346,417,883 1,039,253,650 519,626,825 1,558,880,476 779,440,238 389,720,119 1,169,160,358 584,580,179 1,753,740,538 876,870,269 2,630,610,808 1,315,305,404 657,652,702 328,826,351 986,479,054 493,239,527 1,479,718,582 739,859,291 2,219,577,874 1,109,788,937

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