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Atlas › Integer Profiles › Node 3,914,748

3,914,748

22 × 32 × 37 × 2939
Abundant Even Composite

3,914,748 factors as 2^2 × 3^2 × 37 × 2939. Its 36 positive divisors give a proper-divisor sum of 6,251,772, so this integer is abundant. The Collatz stopping time is 216 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 37 × 2939
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 10,166,520
Proper Divisor Sum 6,251,772
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3914747 ← → #3914749

Radix Representation

Decimal 3914748
Binary 1110111011101111111100 (22 bits)
Octal 0o16735774
Hexadecimal 0x3BBBFC

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1,332 2,939 5,878 8,817 11,756 17,634 26,451 35,268 52,902 105,804 108,743 217,486 326,229 434,972 652,458 978,687 1,304,916 1,957,374 3,914,748

Collatz Trajectory (216 steps to reach 1)

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

3,914,748 1,957,374 978,687 2,936,062 1,468,031 4,404,094 2,202,047 6,606,142 3,303,071 9,909,214 4,954,607 14,863,822 7,431,911 22,295,734 11,147,867 33,443,602 16,721,801 50,165,404 25,082,702 12,541,351 37,624,054 18,812,027 56,436,082 28,218,041 84,654,124 42,327,062 21,163,531 63,490,594 31,745,297 95,235,892 47,617,946 23,808,973 71,426,920 35,713,460 17,856,730 8,928,365 26,785,096 13,392,548 6,696,274 3,348,137 10,044,412 5,022,206 2,511,103 7,533,310 3,766,655 11,299,966 5,649,983 16,949,950 8,474,975 25,424,926 12,712,463 38,137,390 19,068,695 57,206,086 28,603,043 85,809,130 42,904,565 128,713,696 64,356,848 32,178,424

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