λ
Harmonic Matrix

9,307,489

53 × 151 × 1163
Deficient Odd Composite

9,307,489 has digital root 4. The neighboring primes are 9307447 and 9307499; its proper-divisor sum differs from the starting integer by -9,060,866.

Prime Factor Structure

Factorization String 53 × 151 × 1163
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,554,112
Proper Divisor Sum 246,623
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #9307447 ← → #9307499

Radix Representation

Decimal 9307489
Binary 100011100000010101100001 (24 bits)
Octal 0o43402541
Hexadecimal 0x8E0561

Divisor Catalog (8)

1 53 151 1,163 8,003 61,639 175,613 9,307,489

Collatz Trajectory (106 steps to reach 1)

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

9,307,489 27,922,468 13,961,234 6,980,617 20,941,852 10,470,926 5,235,463 15,706,390 7,853,195 23,559,586 11,779,793 35,339,380 17,669,690 8,834,845 26,504,536 13,252,268 6,626,134 3,313,067 9,939,202 4,969,601 14,908,804 7,454,402 3,727,201 11,181,604 5,590,802 2,795,401 8,386,204 4,193,102 2,096,551 6,289,654 3,144,827 9,434,482 4,717,241 14,151,724 7,075,862 3,537,931 10,613,794 5,306,897 15,920,692 7,960,346 3,980,173 11,940,520 5,970,260 2,985,130 1,492,565 4,477,696 2,238,848 1,119,424 559,712 279,856 139,928 69,964 34,982 17,491 52,474 26,237 78,712 39,356 19,678 9,839

More profiles

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