λ
Prime Ledger

9,713,759

112 × 80279
Deficient Odd Composite

9,713,759 has the prime decomposition 11^2 × 80279. Its 2 distinct prime factors produce 6 positive divisors.

Prime Factor Structure

Factorization String 11^2 × 80279
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 10,677,240
Proper Divisor Sum 963,481
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #9713741 ← → #9713773

Radix Representation

Decimal 9713759
Binary 100101000011100001011111 (24 bits)
Octal 0o45034137
Hexadecimal 0x94385F

Divisor Catalog (6)

1 11 121 80,279 883,069 9,713,759

Collatz Trajectory (163 steps to reach 1)

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

9,713,759 29,141,278 14,570,639 43,711,918 21,855,959 65,567,878 32,783,939 98,351,818 49,175,909 147,527,728 73,763,864 36,881,932 18,440,966 9,220,483 27,661,450 13,830,725 41,492,176 20,746,088 10,373,044 5,186,522 2,593,261 7,779,784 3,889,892 1,944,946 972,473 2,917,420 1,458,710 729,355 2,188,066 1,094,033 3,282,100 1,641,050 820,525 2,461,576 1,230,788 615,394 307,697 923,092 461,546 230,773 692,320 346,160 173,080 86,540 43,270 21,635 64,906 32,453 97,360 48,680 24,340 12,170 6,085 18,256 9,128 4,564 2,282 1,141 3,424 1,712

More profiles

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