λ
Prime Ledger

4,013,087

13 × 197 × 1567
Deficient Odd Composite

4,013,087 has the prime decomposition 13 × 197 × 1567. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 13 × 197 × 1567
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,346,496
Proper Divisor Sum 333,409
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #4013059 ← → #4013089

Radix Representation

Decimal 4013087
Binary 1111010011110000011111 (22 bits)
Octal 0o17236037
Hexadecimal 0x3D3C1F

Divisor Catalog (8)

1 13 197 1,567 2,561 20,371 308,699 4,013,087

Collatz Trajectory (154 steps to reach 1)

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

4,013,087 12,039,262 6,019,631 18,058,894 9,029,447 27,088,342 13,544,171 40,632,514 20,316,257 60,948,772 30,474,386 15,237,193 45,711,580 22,855,790 11,427,895 34,283,686 17,141,843 51,425,530 25,712,765 77,138,296 38,569,148 19,284,574 9,642,287 28,926,862 14,463,431 43,390,294 21,695,147 65,085,442 32,542,721 97,628,164 48,814,082 24,407,041 73,221,124 36,610,562 18,305,281 54,915,844 27,457,922 13,728,961 41,186,884 20,593,442 10,296,721 30,890,164 15,445,082 7,722,541 23,167,624 11,583,812 5,791,906 2,895,953 8,687,860 4,343,930 2,171,965 6,515,896 3,257,948 1,628,974 814,487 2,443,462 1,221,731 3,665,194 1,832,597 5,497,792

More profiles

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