λ
Harmonic Matrix

1,239,713

137 × 9049
Deficient Odd Composite

1,239,713 has digital root 8. The neighboring primes are 1239697 and 1239727; its proper-divisor sum differs from the starting integer by -1,230,526.

Prime Factor Structure

Factorization String 137 × 9049
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,248,900
Proper Divisor Sum 9,187
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #1239697 ← → #1239727

Radix Representation

Decimal 1239713
Binary 100101110101010100001 (21 bits)
Octal 0o4565241
Hexadecimal 0x12EAA1

Divisor Catalog (4)

1 137 9,049 1,239,713

Collatz Trajectory (142 steps to reach 1)

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

1,239,713 3,719,140 1,859,570 929,785 2,789,356 1,394,678 697,339 2,092,018 1,046,009 3,138,028 1,569,014 784,507 2,353,522 1,176,761 3,530,284 1,765,142 882,571 2,647,714 1,323,857 3,971,572 1,985,786 992,893 2,978,680 1,489,340 744,670 372,335 1,117,006 558,503 1,675,510 837,755 2,513,266 1,256,633 3,769,900 1,884,950 942,475 2,827,426 1,413,713 4,241,140 2,120,570 1,060,285 3,180,856 1,590,428 795,214 397,607 1,192,822 596,411 1,789,234 894,617 2,683,852 1,341,926 670,963 2,012,890 1,006,445 3,019,336 1,509,668 754,834 377,417 1,132,252 566,126 283,063

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