λ
Harmonic Matrix

9,155,974

2 × 31 × 59 × 2503
Deficient Even Composite

9,155,974 has digital root 4. The neighboring primes are 9155963 and 9155977; its proper-divisor sum differs from the starting integer by -3,888,908.

Prime Factor Structure

Factorization String 2 × 31 × 59 × 2503
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 14,423,040
Proper Divisor Sum 5,267,066
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #9155963 ← → #9155977

Radix Representation

Decimal 9155974
Binary 100010111011010110000110 (24 bits)
Octal 0o42732606
Hexadecimal 0x8BB586

Divisor Catalog (16)

1 2 31 59 62 118 1,829 2,503 3,658 5,006 77,593 147,677 155,186 295,354 4,577,987 9,155,974

Collatz Trajectory (163 steps to reach 1)

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

9,155,974 4,577,987 13,733,962 6,866,981 20,600,944 10,300,472 5,150,236 2,575,118 1,287,559 3,862,678 1,931,339 5,794,018 2,897,009 8,691,028 4,345,514 2,172,757 6,518,272 3,259,136 1,629,568 814,784 407,392 203,696 101,848 50,924 25,462 12,731 38,194 19,097 57,292 28,646 14,323 42,970 21,485 64,456 32,228 16,114 8,057 24,172 12,086 6,043 18,130 9,065 27,196 13,598 6,799 20,398 10,199 30,598 15,299 45,898 22,949 68,848 34,424 17,212 8,606 4,303 12,910 6,455 19,366 9,683

More profiles

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