45,552

2⁴ × 3 × 13 × 73

45,552 has digital root 3. The neighboring primes are 45541 and 45553; its proper-divisor sum differs from the starting integer by 37,360.

Prime Factor Structure

Factorization String 2^4 × 3 × 13 × 73

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 128,464

Proper Divisor Sum 82,912

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #45541 ← → #45553

Radix Representation

Decimal	45552
Binary	1011000111110000 (16 bits)
Octal	0o130760
Hexadecimal	0xB1F0

Divisor Catalog (40)

1 2 3 4 6 8 12 13 16 24 26 39 48 52 73 78 104 146 156 208 219 292 312 438 584 624 876 949 1,168 1,752 1,898 2,847 3,504 3,796 5,694 7,592 11,388 15,184 22,776 45,552

Collatz Trajectory (176 steps to reach 1)

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

45,552 22,776 11,388 5,694 2,847 8,542 4,271 12,814 6,407 19,222 9,611 28,834 14,417 43,252 21,626 10,813 32,440 16,220 8,110 4,055 12,166 6,083 18,250 9,125 27,376 13,688 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 1,160 580 290

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