λ
Harmonic Matrix

9,001,967

13 × 692459
Deficient Odd Composite

9,001,967 has digital root 5. The neighboring primes are 9001963 and 9001969; its proper-divisor sum differs from the starting integer by -8,309,494.

Prime Factor Structure

Factorization String 13 × 692459
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 9,694,440
Proper Divisor Sum 692,473
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #9001963 ← → #9001969

Radix Representation

Decimal 9001967
Binary 100010010101101111101111 (24 bits)
Octal 0o42255757
Hexadecimal 0x895BEF

Divisor Catalog (4)

1 13 692,459 9,001,967

Collatz Trajectory (119 steps to reach 1)

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

9,001,967 27,005,902 13,502,951 40,508,854 20,254,427 60,763,282 30,381,641 91,144,924 45,572,462 22,786,231 68,358,694 34,179,347 102,538,042 51,269,021 153,807,064 76,903,532 38,451,766 19,225,883 57,677,650 28,838,825 86,516,476 43,258,238 21,629,119 64,887,358 32,443,679 97,331,038 48,665,519 145,996,558 72,998,279 218,994,838 109,497,419 328,492,258 164,246,129 492,738,388 246,369,194 123,184,597 369,553,792 184,776,896 92,388,448 46,194,224 23,097,112 11,548,556 5,774,278 2,887,139 8,661,418 4,330,709 12,992,128 6,496,064 3,248,032 1,624,016 812,008 406,004 203,002 101,501 304,504 152,252 76,126 38,063 114,190 57,095

More profiles

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