672,468

2² × 3 × 56039

672,468 has digital root 6. The neighboring primes are 672443 and 672473; its proper-divisor sum differs from the starting integer by 224,184.

Prime Factor Structure

Factorization String 2^2 × 3 × 56039

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,569,120

Proper Divisor Sum 896,652

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #672443 ← → #672473

Radix Representation

Decimal	672468
Binary	10100100001011010100 (20 bits)
Octal	0o2441324
Hexadecimal	0xA42D4

Divisor Catalog (12)

1 2 3 4 6 12 56,039 112,078 168,117 224,156 336,234 672,468

Collatz Trajectory (154 steps to reach 1)

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

672,468 336,234 168,117 504,352 252,176 126,088 63,044 31,522 15,761 47,284 23,642 11,821 35,464 17,732 8,866 4,433 13,300 6,650 3,325 9,976 4,988 2,494 1,247 3,742 1,871 5,614 2,807 8,422 4,211 12,634 6,317 18,952 9,476 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000 2,000 1,000 500 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121

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