λ
Sigma Notebook

727,402

2 × 13 × 101 × 277
Deficient Even Composite

727,402 is even and not a perfect square. Its factorization is 2 × 13 × 101 × 277 and its 16 divisors sum to 1,190,952.

Prime Factor Structure

Factorization String 2 × 13 × 101 × 277
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,190,952
Proper Divisor Sum 463,550
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #727399 ← → #727409

Radix Representation

Decimal 727402
Binary 10110001100101101010 (20 bits)
Octal 0o2614552
Hexadecimal 0xB196A

Divisor Catalog (16)

1 2 13 26 101 202 277 554 1,313 2,626 3,601 7,202 27,977 55,954 363,701 727,402

Collatz Trajectory (180 steps to reach 1)

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

727,402 363,701 1,091,104 545,552 272,776 136,388 68,194 34,097 102,292 51,146 25,573 76,720 38,360 19,180 9,590 4,795 14,386 7,193 21,580 10,790 5,395 16,186 8,093 24,280 12,140 6,070 3,035 9,106 4,553 13,660 6,830 3,415 10,246 5,123 15,370 7,685 23,056 11,528 5,764 2,882 1,441 4,324 2,162 1,081 3,244 1,622 811 2,434 1,217 3,652 1,826 913 2,740 1,370 685 2,056 1,028 514 257 772

More profiles

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