λ
Harmonic Matrix

9,159,704

23 × 23 × 67 × 743
Deficient Even Composite

9,159,704 has digital root 8. The neighboring primes are 9159659 and 9159739; its proper-divisor sum differs from the starting integer by -106,288.

Prime Factor Structure

Factorization String 2^3 × 23 × 67 × 743
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 18,213,120
Proper Divisor Sum 9,053,416
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #9159659 ← → #9159739

Radix Representation

Decimal 9159704
Binary 100010111100010000011000 (24 bits)
Octal 0o42742030
Hexadecimal 0x8BC418

Divisor Catalog (32)

1 2 4 8 23 46 67 92 134 184 268 536 743 1,486 1,541 2,972 3,082 5,944 6,164 12,328 17,089 34,178 49,781 68,356 99,562 136,712 199,124 398,248 1,144,963 2,289,926 4,579,852 9,159,704

Collatz Trajectory (132 steps to reach 1)

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

9,159,704 4,579,852 2,289,926 1,144,963 3,434,890 1,717,445 5,152,336 2,576,168 1,288,084 644,042 322,021 966,064 483,032 241,516 120,758 60,379 181,138 90,569 271,708 135,854 67,927 203,782 101,891 305,674 152,837 458,512 229,256 114,628 57,314 28,657 85,972 42,986 21,493 64,480 32,240 16,120 8,060 4,030 2,015 6,046 3,023 9,070 4,535 13,606 6,803 20,410 10,205 30,616 15,308 7,654 3,827 11,482 5,741 17,224 8,612 4,306 2,153 6,460 3,230 1,615

More profiles

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