λ
Harmonic Matrix

9,178,274

2 × 7 × 101 × 6491
Deficient Even Composite

9,178,274 has digital root 2. The neighboring primes are 9178261 and 9178277; its proper-divisor sum differs from the starting integer by -2,464,132.

Prime Factor Structure

Factorization String 2 × 7 × 101 × 6491
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 15,892,416
Proper Divisor Sum 6,714,142
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #9178261 ← → #9178277

Radix Representation

Decimal 9178274
Binary 100011000000110010100010 (24 bits)
Octal 0o43006242
Hexadecimal 0x8C0CA2

Divisor Catalog (16)

1 2 7 14 101 202 707 1,414 6,491 12,982 45,437 90,874 655,591 1,311,182 4,589,137 9,178,274

Collatz Trajectory (132 steps to reach 1)

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

9,178,274 4,589,137 13,767,412 6,883,706 3,441,853 10,325,560 5,162,780 2,581,390 1,290,695 3,872,086 1,936,043 5,808,130 2,904,065 8,712,196 4,356,098 2,178,049 6,534,148 3,267,074 1,633,537 4,900,612 2,450,306 1,225,153 3,675,460 1,837,730 918,865 2,756,596 1,378,298 689,149 2,067,448 1,033,724 516,862 258,431 775,294 387,647 1,162,942 581,471 1,744,414 872,207 2,616,622 1,308,311 3,924,934 1,962,467 5,887,402 2,943,701 8,831,104 4,415,552 2,207,776 1,103,888 551,944 275,972 137,986 68,993 206,980 103,490 51,745 155,236 77,618 38,809 116,428 58,214

More profiles

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