732,848

2⁴ × 163 × 281

732,848 factors as 2^4 × 163 × 281. Its 20 positive divisors give a proper-divisor sum of 700,840, so this integer is deficient. The Collatz stopping time is 193 steps.

Prime Factor Structure

Factorization String 2^4 × 163 × 281

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 1,433,688

Proper Divisor Sum 700,840

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #732841 ← → #732863

Radix Representation

Decimal	732848
Binary	10110010111010110000 (20 bits)
Octal	0o2627260
Hexadecimal	0xB2EB0

Divisor Catalog (20)

Collatz Trajectory (193 steps to reach 1)

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

732,848 366,424 183,212 91,606 45,803 137,410 68,705 206,116 103,058 51,529 154,588 77,294 38,647 115,942 57,971 173,914 86,957 260,872 130,436 65,218 32,609 97,828 48,914 24,457 73,372 36,686 18,343 55,030 27,515 82,546 41,273 123,820 61,910 30,955 92,866 46,433 139,300 69,650 34,825 104,476 52,238 26,119 78,358 39,179 117,538 58,769 176,308 88,154 44,077 132,232 66,116 33,058 16,529 49,588 24,794 12,397 37,192 18,596 9,298 4,649

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