λ
Harmonic Matrix

9,360,155

5 × 7 × 267433
Deficient Odd Composite

9,360,155 has digital root 2. The neighboring primes are 9360083 and 9360181; its proper-divisor sum differs from the starting integer by -5,883,478.

Prime Factor Structure

Factorization String 5 × 7 × 267433
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 12,836,832
Proper Divisor Sum 3,476,677
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #9360083 ← → #9360181

Radix Representation

Decimal 9360155
Binary 100011101101001100011011 (24 bits)
Octal 0o43551433
Hexadecimal 0x8ED31B

Divisor Catalog (8)

1 5 7 35 267,433 1,337,165 1,872,031 9,360,155

Collatz Trajectory (194 steps to reach 1)

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

9,360,155 28,080,466 14,040,233 42,120,700 21,060,350 10,530,175 31,590,526 15,795,263 47,385,790 23,692,895 71,078,686 35,539,343 106,618,030 53,309,015 159,927,046 79,963,523 239,890,570 119,945,285 359,835,856 179,917,928 89,958,964 44,979,482 22,489,741 67,469,224 33,734,612 16,867,306 8,433,653 25,300,960 12,650,480 6,325,240 3,162,620 1,581,310 790,655 2,371,966 1,185,983 3,557,950 1,778,975 5,336,926 2,668,463 8,005,390 4,002,695 12,008,086 6,004,043 18,012,130 9,006,065 27,018,196 13,509,098 6,754,549 20,263,648 10,131,824 5,065,912 2,532,956 1,266,478 633,239 1,899,718 949,859 2,849,578 1,424,789 4,274,368 2,137,184

More profiles

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