λ
Harmonic Matrix

9,740,773

7 × 127 × 10957
Deficient Odd Composite

9,740,773 has digital root 1. The neighboring primes are 9740771 and 9740777; its proper-divisor sum differs from the starting integer by -8,260,554.

Prime Factor Structure

Factorization String 7 × 127 × 10957
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,220,992
Proper Divisor Sum 1,480,219
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #9740771 ← → #9740777

Radix Representation

Decimal 9740773
Binary 100101001010000111100101 (24 bits)
Octal 0o45120745
Hexadecimal 0x94A1E5

Divisor Catalog (8)

1 7 127 889 10,957 76,699 1,391,539 9,740,773

Collatz Trajectory (119 steps to reach 1)

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

9,740,773 29,222,320 14,611,160 7,305,580 3,652,790 1,826,395 5,479,186 2,739,593 8,218,780 4,109,390 2,054,695 6,164,086 3,082,043 9,246,130 4,623,065 13,869,196 6,934,598 3,467,299 10,401,898 5,200,949 15,602,848 7,801,424 3,900,712 1,950,356 975,178 487,589 1,462,768 731,384 365,692 182,846 91,423 274,270 137,135 411,406 205,703 617,110 308,555 925,666 462,833 1,388,500 694,250 347,125 1,041,376 520,688 260,344 130,172 65,086 32,543 97,630 48,815 146,446 73,223 219,670 109,835 329,506 164,753 494,260 247,130 123,565 370,696

More profiles

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