λ
Harmonic Matrix

9,480,724

22 × 11 × 215471
Deficient Even Composite

9,480,724 has digital root 7. The neighboring primes are 9480703 and 9480743; its proper-divisor sum differs from the starting integer by -861,800.

Prime Factor Structure

Factorization String 2^2 × 11 × 215471
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 18,099,648
Proper Divisor Sum 8,618,924
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #9480703 ← → #9480743

Radix Representation

Decimal 9480724
Binary 100100001010101000010100 (24 bits)
Octal 0o44125024
Hexadecimal 0x90AA14

Divisor Catalog (12)

1 2 4 11 22 44 215,471 430,942 861,884 2,370,181 4,740,362 9,480,724

Collatz Trajectory (150 steps to reach 1)

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

9,480,724 4,740,362 2,370,181 7,110,544 3,555,272 1,777,636 888,818 444,409 1,333,228 666,614 333,307 999,922 499,961 1,499,884 749,942 374,971 1,124,914 562,457 1,687,372 843,686 421,843 1,265,530 632,765 1,898,296 949,148 474,574 237,287 711,862 355,931 1,067,794 533,897 1,601,692 800,846 400,423 1,201,270 600,635 1,801,906 900,953 2,702,860 1,351,430 675,715 2,027,146 1,013,573 3,040,720 1,520,360 760,180 380,090 190,045 570,136 285,068 142,534 71,267 213,802 106,901 320,704 160,352 80,176 40,088 20,044 10,022

More profiles

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