λ
Harmonic Matrix

9,472,835

5 × 269 × 7043
Deficient Odd Composite

9,472,835 has digital root 2. The neighboring primes are 9472831 and 9472843; its proper-divisor sum differs from the starting integer by -7,534,390.

Prime Factor Structure

Factorization String 5 × 269 × 7043
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,411,280
Proper Divisor Sum 1,938,445
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #9472831 ← → #9472843

Radix Representation

Decimal 9472835
Binary 100100001000101101000011 (24 bits)
Octal 0o44105503
Hexadecimal 0x908B43

Divisor Catalog (8)

1 5 269 1,345 7,043 35,215 1,894,567 9,472,835

Collatz Trajectory (225 steps to reach 1)

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

9,472,835 28,418,506 14,209,253 42,627,760 21,313,880 10,656,940 5,328,470 2,664,235 7,992,706 3,996,353 11,989,060 5,994,530 2,997,265 8,991,796 4,495,898 2,247,949 6,743,848 3,371,924 1,685,962 842,981 2,528,944 1,264,472 632,236 316,118 158,059 474,178 237,089 711,268 355,634 177,817 533,452 266,726 133,363 400,090 200,045 600,136 300,068 150,034 75,017 225,052 112,526 56,263 168,790 84,395 253,186 126,593 379,780 189,890 94,945 284,836 142,418 71,209 213,628 106,814 53,407 160,222 80,111 240,334 120,167 360,502

More profiles

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