λ
Harmonic Matrix

9,129,995

5 × 7 × 260857
Deficient Odd Composite

9,129,995 has digital root 8. The neighboring primes are 9129979 and 9129997; its proper-divisor sum differs from the starting integer by -5,738,806.

Prime Factor Structure

Factorization String 5 × 7 × 260857
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 12,521,184
Proper Divisor Sum 3,391,189
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #9129979 ← → #9129997

Radix Representation

Decimal 9129995
Binary 100010110101000000001011 (24 bits)
Octal 0o42650013
Hexadecimal 0x8B500B

Divisor Catalog (8)

1 5 7 35 260,857 1,304,285 1,825,999 9,129,995

Collatz Trajectory (62 steps to reach 1)

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

9,129,995 27,389,986 13,694,993 41,084,980 20,542,490 10,271,245 30,813,736 15,406,868 7,703,434 3,851,717 11,555,152 5,777,576 2,888,788 1,444,394 722,197 2,166,592 1,083,296 541,648 270,824 135,412 67,706 33,853 101,560 50,780 25,390 12,695 38,086 19,043 57,130 28,565 85,696 42,848 21,424 10,712 5,356 2,678 1,339 4,018 2,009 6,028 3,014 1,507 4,522 2,261 6,784 3,392 1,696 848 424 212 106 53 160 80 40 20 10 5 16 8

More profiles

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