472,727

157 × 3011

For 472,727, the 4 positive divisors have a total of 475,896. Removing 472,727 leaves 3,169, which gives the deficient classification.

Prime Factor Structure

Factorization String 157 × 3011

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 475,896

Proper Divisor Sum 3,169

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #472721 ← → #472741

Radix Representation

Decimal	472727
Binary	1110011011010010111 (19 bits)
Octal	0o1633227
Hexadecimal	0x73697

Divisor Catalog (4)

1 157 3,011 472,727

Collatz Trajectory (50 steps to reach 1)

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

472,727 1,418,182 709,091 2,127,274 1,063,637 3,190,912 1,595,456 797,728 398,864 199,432 99,716 49,858 24,929 74,788 37,394 18,697 56,092 28,046 14,023 42,070 21,035 63,106 31,553 94,660 47,330 23,665 70,996 35,498 17,749 53,248 26,624 13,312 6,656 3,328 1,664 832 416 208 104 52 26 13 40 20 10 5 16 8 4 2 1

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