546,628

2² × 136657

546,628 factors as 2^2 × 136657. Its 6 positive divisors give a proper-divisor sum of 409,978, so this integer is deficient. The Collatz stopping time is 177 steps.

Prime Factor Structure

Factorization String 2^2 × 136657

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 956,606

Proper Divisor Sum 409,978

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #546619 ← → #546631

Radix Representation

Decimal	546628
Binary	10000101011101000100 (20 bits)
Octal	0o2053504
Hexadecimal	0x85744

Divisor Catalog (6)

1 2 4 136,657 273,314 546,628

Collatz Trajectory (177 steps to reach 1)

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

546,628 273,314 136,657 409,972 204,986 102,493 307,480 153,740 76,870 38,435 115,306 57,653 172,960 86,480 43,240 21,620 10,810 5,405 16,216 8,108 4,054 2,027 6,082 3,041 9,124 4,562 2,281 6,844 3,422 1,711 5,134 2,567 7,702 3,851 11,554 5,777 17,332 8,666 4,333 13,000 6,500 3,250 1,625 4,876 2,438 1,219 3,658 1,829 5,488 2,744 1,372 686 343 1,030 515 1,546 773 2,320 1,160 580

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