λ
Harmonic Matrix

9,723,776

27 × 75967
Deficient Even Composite

9,723,776 has digital root 5. The neighboring primes are 9723773 and 9723797; its proper-divisor sum differs from the starting integer by -75,712.

Prime Factor Structure

Factorization String 2^7 × 75967
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 19,371,840
Proper Divisor Sum 9,648,064
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #9723773 ← → #9723797

Radix Representation

Decimal 9723776
Binary 100101000101111110000000 (24 bits)
Octal 0o45057600
Hexadecimal 0x945F80

Divisor Catalog (16)

1 2 4 8 16 32 64 128 75,967 151,934 303,868 607,736 1,215,472 2,430,944 4,861,888 9,723,776

Collatz Trajectory (101 steps to reach 1)

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

9,723,776 4,861,888 2,430,944 1,215,472 607,736 303,868 151,934 75,967 227,902 113,951 341,854 170,927 512,782 256,391 769,174 384,587 1,153,762 576,881 1,730,644 865,322 432,661 1,297,984 648,992 324,496 162,248 81,124 40,562 20,281 60,844 30,422 15,211 45,634 22,817 68,452 34,226 17,113 51,340 25,670 12,835 38,506 19,253 57,760 28,880 14,440 7,220 3,610 1,805 5,416 2,708 1,354 677 2,032 1,016 508 254 127 382 191 574 287

More profiles

← Previous Integer #9,723,775 Browse Full Index Next Integer #9,723,777 →