λ
Harmonic Matrix

9,743,265

32 × 5 × 7 × 30931
Deficient Odd Composite

9,743,265 has digital root 9. The neighboring primes are 9743249 and 9743267; its proper-divisor sum differs from the starting integer by -184,962.

Prime Factor Structure

Factorization String 3^2 × 5 × 7 × 30931
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 19,301,568
Proper Divisor Sum 9,558,303
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9743249 ← → #9743267

Radix Representation

Decimal 9743265
Binary 100101001010101110100001 (24 bits)
Octal 0o45125641
Hexadecimal 0x94ABA1

Divisor Catalog (24)

1 3 5 7 9 15 21 35 45 63 105 315 30,931 92,793 154,655 216,517 278,379 463,965 649,551 1,082,585 1,391,895 1,948,653 3,247,755 9,743,265

Collatz Trajectory (207 steps to reach 1)

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

9,743,265 29,229,796 14,614,898 7,307,449 21,922,348 10,961,174 5,480,587 16,441,762 8,220,881 24,662,644 12,331,322 6,165,661 18,496,984 9,248,492 4,624,246 2,312,123 6,936,370 3,468,185 10,404,556 5,202,278 2,601,139 7,803,418 3,901,709 11,705,128 5,852,564 2,926,282 1,463,141 4,389,424 2,194,712 1,097,356 548,678 274,339 823,018 411,509 1,234,528 617,264 308,632 154,316 77,158 38,579 115,738 57,869 173,608 86,804 43,402 21,701 65,104 32,552 16,276 8,138 4,069 12,208 6,104 3,052 1,526 763 2,290 1,145 3,436 1,718

More profiles

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