λ
Harmonic Matrix

9,509,389

223 × 42643
Deficient Odd Composite

9,509,389 has digital root 7. The neighboring primes are 9509363 and 9509399; its proper-divisor sum differs from the starting integer by -9,466,522.

Prime Factor Structure

Factorization String 223 × 42643
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 9,552,256
Proper Divisor Sum 42,867
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #9509363 ← → #9509399

Radix Representation

Decimal 9509389
Binary 100100010001101000001101 (24 bits)
Octal 0o44215015
Hexadecimal 0x911A0D

Divisor Catalog (4)

1 223 42,643 9,509,389

Collatz Trajectory (75 steps to reach 1)

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

9,509,389 28,528,168 14,264,084 7,132,042 3,566,021 10,698,064 5,349,032 2,674,516 1,337,258 668,629 2,005,888 1,002,944 501,472 250,736 125,368 62,684 31,342 15,671 47,014 23,507 70,522 35,261 105,784 52,892 26,446 13,223 39,670 19,835 59,506 29,753 89,260 44,630 22,315 66,946 33,473 100,420 50,210 25,105 75,316 37,658 18,829 56,488 28,244 14,122 7,061 21,184 10,592 5,296 2,648 1,324 662 331 994 497 1,492 746 373 1,120 560 280

More profiles

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