λ
Harmonic Matrix

9,271,863

32 × 41 × 25127
Deficient Odd Composite

9,271,863 has digital root 9. The neighboring primes are 9271861 and 9271877; its proper-divisor sum differs from the starting integer by -4,823,838.

Prime Factor Structure

Factorization String 3^2 × 41 × 25127
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 13,719,888
Proper Divisor Sum 4,448,025
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9271861 ← → #9271877

Radix Representation

Decimal 9271863
Binary 100011010111101000110111 (24 bits)
Octal 0o43275067
Hexadecimal 0x8D7A37

Divisor Catalog (12)

1 3 9 41 123 369 25,127 75,381 226,143 1,030,207 3,090,621 9,271,863

Collatz Trajectory (163 steps to reach 1)

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

9,271,863 27,815,590 13,907,795 41,723,386 20,861,693 62,585,080 31,292,540 15,646,270 7,823,135 23,469,406 11,734,703 35,204,110 17,602,055 52,806,166 26,403,083 79,209,250 39,604,625 118,813,876 59,406,938 29,703,469 89,110,408 44,555,204 22,277,602 11,138,801 33,416,404 16,708,202 8,354,101 25,062,304 12,531,152 6,265,576 3,132,788 1,566,394 783,197 2,349,592 1,174,796 587,398 293,699 881,098 440,549 1,321,648 660,824 330,412 165,206 82,603 247,810 123,905 371,716 185,858 92,929 278,788 139,394 69,697 209,092 104,546 52,273 156,820 78,410 39,205 117,616 58,808

More profiles

← Previous Integer #9,271,862 Browse Full Index Next Integer #9,271,864 →