λ
Harmonic Matrix

2,713,702

2 × 73 × 18587
Deficient Even Composite

2,713,702 has digital root 4. The neighboring primes are 2713679 and 2713703; its proper-divisor sum differs from the starting integer by -1,300,868.

Prime Factor Structure

Factorization String 2 × 73 × 18587
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,126,536
Proper Divisor Sum 1,412,834
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #2713679 ← → #2713703

Radix Representation

Decimal 2713702
Binary 1010010110100001100110 (22 bits)
Octal 0o12264146
Hexadecimal 0x296866

Divisor Catalog (8)

1 2 73 146 18,587 37,174 1,356,851 2,713,702

Collatz Trajectory (63 steps to reach 1)

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

2,713,702 1,356,851 4,070,554 2,035,277 6,105,832 3,052,916 1,526,458 763,229 2,289,688 1,144,844 572,422 286,211 858,634 429,317 1,287,952 643,976 321,988 160,994 80,497 241,492 120,746 60,373 181,120 90,560 45,280 22,640 11,320 5,660 2,830 1,415 4,246 2,123 6,370 3,185 9,556 4,778 2,389 7,168 3,584 1,792 896 448 224 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16

More profiles

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