λ
Harmonic Matrix

5,015,918

2 × 17 × 151 × 977
Deficient Even Composite

5,015,918 has digital root 2. The neighboring primes are 5015917 and 5015921; its proper-divisor sum differs from the starting integer by -2,004,412.

Prime Factor Structure

Factorization String 2 × 17 × 151 × 977
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,027,424
Proper Divisor Sum 3,011,506
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #5015917 ← → #5015921

Radix Representation

Decimal 5015918
Binary 10011001000100101101110 (23 bits)
Octal 0o23104556
Hexadecimal 0x4C896E

Divisor Catalog (16)

1 2 17 34 151 302 977 1,954 2,567 5,134 16,609 33,218 147,527 295,054 2,507,959 5,015,918

Collatz Trajectory (157 steps to reach 1)

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

5,015,918 2,507,959 7,523,878 3,761,939 11,285,818 5,642,909 16,928,728 8,464,364 4,232,182 2,116,091 6,348,274 3,174,137 9,522,412 4,761,206 2,380,603 7,141,810 3,570,905 10,712,716 5,356,358 2,678,179 8,034,538 4,017,269 12,051,808 6,025,904 3,012,952 1,506,476 753,238 376,619 1,129,858 564,929 1,694,788 847,394 423,697 1,271,092 635,546 317,773 953,320 476,660 238,330 119,165 357,496 178,748 89,374 44,687 134,062 67,031 201,094 100,547 301,642 150,821 452,464 226,232 113,116 56,558 28,279 84,838 42,419 127,258 63,629 190,888

More profiles

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