λ
Harmonic Matrix

1,309,708

22 × 192 × 907
Deficient Even Composite

1,309,708 has digital root 1. The neighboring primes are 1309699 and 1309709; its proper-divisor sum differs from the starting integer by -197,780.

Prime Factor Structure

Factorization String 2^2 × 19^2 × 907
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 2,421,636
Proper Divisor Sum 1,111,928
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #1309699 ← → #1309709

Radix Representation

Decimal 1309708
Binary 100111111110000001100 (21 bits)
Octal 0o4776014
Hexadecimal 0x13FC0C

Divisor Catalog (18)

1 2 4 19 38 76 361 722 907 1,444 1,814 3,628 17,233 34,466 68,932 327,427 654,854 1,309,708

Collatz Trajectory (80 steps to reach 1)

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

1,309,708 654,854 327,427 982,282 491,141 1,473,424 736,712 368,356 184,178 92,089 276,268 138,134 69,067 207,202 103,601 310,804 155,402 77,701 233,104 116,552 58,276 29,138 14,569 43,708 21,854 10,927 32,782 16,391 49,174 24,587 73,762 36,881 110,644 55,322 27,661 82,984 41,492 20,746 10,373 31,120 15,560 7,780 3,890 1,945 5,836 2,918 1,459 4,378 2,189 6,568 3,284 1,642 821 2,464 1,232 616 308 154 77 232

More profiles

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