535,772

2² × 17 × 7879

535,772 has the prime decomposition 2^2 × 17 × 7879. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 17 × 7879

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 992,880

Proper Divisor Sum 457,108

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #535771 ← → #535783

Radix Representation

Decimal	535772
Binary	10000010110011011100 (20 bits)
Octal	0o2026334
Hexadecimal	0x82CDC

Divisor Catalog (12)

1 2 4 17 34 68 7,879 15,758 31,516 133,943 267,886 535,772

Collatz Trajectory (146 steps to reach 1)

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

535,772 267,886 133,943 401,830 200,915 602,746 301,373 904,120 452,060 226,030 113,015 339,046 169,523 508,570 254,285 762,856 381,428 190,714 95,357 286,072 143,036 71,518 35,759 107,278 53,639 160,918 80,459 241,378 120,689 362,068 181,034 90,517 271,552 135,776 67,888 33,944 16,972 8,486 4,243 12,730 6,365 19,096 9,548 4,774 2,387 7,162 3,581 10,744 5,372 2,686 1,343 4,030 2,015 6,046 3,023 9,070 4,535 13,606 6,803 20,410

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