λ
Harmonic Matrix

8,015,158

2 × 101 × 39679
Deficient Even Composite

8,015,158 has digital root 1. The neighboring primes are 8015141 and 8015167; its proper-divisor sum differs from the starting integer by -3,888,236.

Prime Factor Structure

Factorization String 2 × 101 × 39679
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 12,142,080
Proper Divisor Sum 4,126,922
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #8015141 ← → #8015167

Radix Representation

Decimal 8015158
Binary 11110100100110100110110 (23 bits)
Octal 0o36446466
Hexadecimal 0x7A4D36

Divisor Catalog (8)

1 2 101 202 39,679 79,358 4,007,579 8,015,158

Collatz Trajectory (292 steps to reach 1)

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

8,015,158 4,007,579 12,022,738 6,011,369 18,034,108 9,017,054 4,508,527 13,525,582 6,762,791 20,288,374 10,144,187 30,432,562 15,216,281 45,648,844 22,824,422 11,412,211 34,236,634 17,118,317 51,354,952 25,677,476 12,838,738 6,419,369 19,258,108 9,629,054 4,814,527 14,443,582 7,221,791 21,665,374 10,832,687 32,498,062 16,249,031 48,747,094 24,373,547 73,120,642 36,560,321 109,680,964 54,840,482 27,420,241 82,260,724 41,130,362 20,565,181 61,695,544 30,847,772 15,423,886 7,711,943 23,135,830 11,567,915 34,703,746 17,351,873 52,055,620 26,027,810 13,013,905 39,041,716 19,520,858 9,760,429 29,281,288 14,640,644 7,320,322 3,660,161 10,980,484

More profiles

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