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Atlas › Integer Profiles › Node 3,752,175

3,752,175

3 × 52 × 72 × 1021
Deficient Odd Composite

3,752,175 factors as 3 × 5^2 × 7^2 × 1021. Its 36 positive divisors give a proper-divisor sum of 3,471,321, so this integer is deficient. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 3 × 5^2 × 7^2 × 1021
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 7,223,496
Proper Divisor Sum 3,471,321
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3752159 ← → #3752183

Radix Representation

Decimal 3752175
Binary 1110010100000011101111 (22 bits)
Octal 0o16240357
Hexadecimal 0x3940EF

Divisor Catalog (36)

1 3 5 7 15 21 25 35 49 75 105 147 175 245 525 735 1,021 1,225 3,063 3,675 5,105 7,147 15,315 21,441 25,525 35,735 50,029 76,575 107,205 150,087 178,675 250,145 536,025 750,435 1,250,725 3,752,175

Collatz Trajectory (185 steps to reach 1)

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

3,752,175 11,256,526 5,628,263 16,884,790 8,442,395 25,327,186 12,663,593 37,990,780 18,995,390 9,497,695 28,493,086 14,246,543 42,739,630 21,369,815 64,109,446 32,054,723 96,164,170 48,082,085 144,246,256 72,123,128 36,061,564 18,030,782 9,015,391 27,046,174 13,523,087 40,569,262 20,284,631 60,853,894 30,426,947 91,280,842 45,640,421 136,921,264 68,460,632 34,230,316 17,115,158 8,557,579 25,672,738 12,836,369 38,509,108 19,254,554 9,627,277 28,881,832 14,440,916 7,220,458 3,610,229 10,830,688 5,415,344 2,707,672 1,353,836 676,918 338,459 1,015,378 507,689 1,523,068 761,534 380,767 1,142,302 571,151 1,713,454 856,727

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