λ
Harmonic Matrix

8,738,007

3 × 719 × 4051
Deficient Odd Composite

8,738,007 has digital root 6. The neighboring primes are 8737979 and 8738011; its proper-divisor sum differs from the starting integer by -5,806,254.

Prime Factor Structure

Factorization String 3 × 719 × 4051
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,669,760
Proper Divisor Sum 2,931,753
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #8737979 ← → #8738011

Radix Representation

Decimal 8738007
Binary 100001010101010011010111 (24 bits)
Octal 0o41252327
Hexadecimal 0x8554D7

Divisor Catalog (8)

1 3 719 2,157 4,051 12,153 2,912,669 8,738,007

Collatz Trajectory (181 steps to reach 1)

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

8,738,007 26,214,022 13,107,011 39,321,034 19,660,517 58,981,552 29,490,776 14,745,388 7,372,694 3,686,347 11,059,042 5,529,521 16,588,564 8,294,282 4,147,141 12,441,424 6,220,712 3,110,356 1,555,178 777,589 2,332,768 1,166,384 583,192 291,596 145,798 72,899 218,698 109,349 328,048 164,024 82,012 41,006 20,503 61,510 30,755 92,266 46,133 138,400 69,200 34,600 17,300 8,650 4,325 12,976 6,488 3,244 1,622 811 2,434 1,217 3,652 1,826 913 2,740 1,370 685 2,056 1,028 514 257

More profiles

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