λ
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Atlas › Integer Profiles › Node 3,983,175

3,983,175

34 × 52 × 7 × 281
Abundant Odd Composite

3,983,175 factors as 3^4 × 5^2 × 7 × 281. Its 60 positive divisors give a proper-divisor sum of 4,479,081, so this integer is abundant. The Collatz stopping time is 229 steps.

Prime Factor Structure

Factorization String 3^4 × 5^2 × 7 × 281
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 8,462,256
Proper Divisor Sum 4,479,081
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3983153 ← → #3983197

Radix Representation

Decimal 3983175
Binary 1111001100011101000111 (22 bits)
Octal 0o17143507
Hexadecimal 0x3CC747

Divisor Catalog (60)

1 3 5 7 9 15 21 25 27 35 45 63 75 81 105 135 175 189 225 281 315 405 525 567 675 843 945 1,405 1,575 1,967 2,025 2,529 2,835 4,215 4,725 5,901 7,025 7,587 9,835 12,645 14,175 17,703 21,075 22,761 29,505 37,935 49,175 53,109 63,225 88,515 113,805 147,525 159,327 189,675 265,545 442,575 569,025 796,635 1,327,725 3,983,175

Collatz Trajectory (229 steps to reach 1)

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

3,983,175 11,949,526 5,974,763 17,924,290 8,962,145 26,886,436 13,443,218 6,721,609 20,164,828 10,082,414 5,041,207 15,123,622 7,561,811 22,685,434 11,342,717 34,028,152 17,014,076 8,507,038 4,253,519 12,760,558 6,380,279 19,140,838 9,570,419 28,711,258 14,355,629 43,066,888 21,533,444 10,766,722 5,383,361 16,150,084 8,075,042 4,037,521 12,112,564 6,056,282 3,028,141 9,084,424 4,542,212 2,271,106 1,135,553 3,406,660 1,703,330 851,665 2,554,996 1,277,498 638,749 1,916,248 958,124 479,062 239,531 718,594 359,297 1,077,892 538,946 269,473 808,420 404,210 202,105 606,316 303,158 151,579

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