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Atlas › Integer Profiles › Node 3,670,176

3,670,176

25 × 3 × 38231
Abundant Even Composite

3,670,176 factors as 2^5 × 3 × 38231. Its 24 positive divisors give a proper-divisor sum of 5,964,288, so this integer is abundant. The Collatz stopping time is 84 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 38231
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,634,464
Proper Divisor Sum 5,964,288
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3670171 ← → #3670231

Radix Representation

Decimal 3670176
Binary 1110000000000010100000 (22 bits)
Octal 0o16000240
Hexadecimal 0x3800A0

Divisor Catalog (24)

1 2 3 4 6 8 12 16 24 32 48 96 38,231 76,462 114,693 152,924 229,386 305,848 458,772 611,696 917,544 1,223,392 1,835,088 3,670,176

Collatz Trajectory (84 steps to reach 1)

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

3,670,176 1,835,088 917,544 458,772 229,386 114,693 344,080 172,040 86,020 43,010 21,505 64,516 32,258 16,129 48,388 24,194 12,097 36,292 18,146 9,073 27,220 13,610 6,805 20,416 10,208 5,104 2,552 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650

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