47,372

2² × 13 × 911

47,372 has digital root 5. The neighboring primes are 47363 and 47381; its proper-divisor sum differs from the starting integer by -5,368.

Prime Factor Structure

Factorization String 2^2 × 13 × 911

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 89,376

Proper Divisor Sum 42,004

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #47363 ← → #47381

Radix Representation

Decimal	47372
Binary	1011100100001100 (16 bits)
Octal	0o134414
Hexadecimal	0xB90C

Divisor Catalog (12)

1 2 4 13 26 52 911 1,822 3,644 11,843 23,686 47,372

Collatz Trajectory (189 steps to reach 1)

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

47,372 23,686 11,843 35,530 17,765 53,296 26,648 13,324 6,662 3,331 9,994 4,997 14,992 7,496 3,748 1,874 937 2,812 1,406 703 2,110 1,055 3,166 1,583 4,750 2,375 7,126 3,563 10,690 5,345 16,036 8,018 4,009 12,028 6,014 3,007 9,022 4,511 13,534 6,767 20,302 10,151 30,454 15,227 45,682 22,841 68,524 34,262 17,131 51,394 25,697 77,092 38,546 19,273 57,820 28,910 14,455 43,366 21,683 65,050

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