λ
Harmonic Matrix

9,389,404

22 × 31 × 75721
Deficient Even Composite

9,389,404 has digital root 1. The neighboring primes are 9389399 and 9389407; its proper-divisor sum differs from the starting integer by -1,817,080.

Prime Factor Structure

Factorization String 2^2 × 31 × 75721
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 16,961,728
Proper Divisor Sum 7,572,324
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #9389399 ← → #9389407

Radix Representation

Decimal 9389404
Binary 100011110100010101011100 (24 bits)
Octal 0o43642534
Hexadecimal 0x8F455C

Divisor Catalog (12)

1 2 4 31 62 124 75,721 151,442 302,884 2,347,351 4,694,702 9,389,404

Collatz Trajectory (132 steps to reach 1)

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

9,389,404 4,694,702 2,347,351 7,042,054 3,521,027 10,563,082 5,281,541 15,844,624 7,922,312 3,961,156 1,980,578 990,289 2,970,868 1,485,434 742,717 2,228,152 1,114,076 557,038 278,519 835,558 417,779 1,253,338 626,669 1,880,008 940,004 470,002 235,001 705,004 352,502 176,251 528,754 264,377 793,132 396,566 198,283 594,850 297,425 892,276 446,138 223,069 669,208 334,604 167,302 83,651 250,954 125,477 376,432 188,216 94,108 47,054 23,527 70,582 35,291 105,874 52,937 158,812 79,406 39,703 119,110 59,555

More profiles

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