581,828

2² × 13 × 67 × 167

For 581,828, the 24 positive divisors have a total of 1,119,552. Removing 581,828 leaves 537,724, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^2 × 13 × 67 × 167

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,119,552

Proper Divisor Sum 537,724

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #581821 ← → #581843

Radix Representation

Decimal	581828
Binary	10001110000011000100 (20 bits)
Octal	0o2160304
Hexadecimal	0x8E0C4

Divisor Catalog (24)

1 2 4 13 26 52 67 134 167 268 334 668 871 1,742 2,171 3,484 4,342 8,684 11,189 22,378 44,756 145,457 290,914 581,828

Collatz Trajectory (45 steps to reach 1)

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

581,828 290,914 145,457 436,372 218,186 109,093 327,280 163,640 81,820 40,910 20,455 61,366 30,683 92,050 46,025 138,076 69,038 34,519 103,558 51,779 155,338 77,669 233,008 116,504 58,252 29,126 14,563 43,690 21,845 65,536 32,768 16,384 8,192 4,096 2,048 1,024 512 256 128 64 32 16 8 4 2 1

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