43,175

5² × 11 × 157

43,175 has digital root 2. The neighboring primes are 43159 and 43177; its proper-divisor sum differs from the starting integer by -27,574.

Prime Factor Structure

Factorization String 5^2 × 11 × 157

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 58,776

Proper Divisor Sum 15,601

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #43159 ← → #43177

Radix Representation

Decimal	43175
Binary	1010100010100111 (16 bits)
Octal	0o124247
Hexadecimal	0xA8A7

Divisor Catalog (12)

1 5 11 25 55 157 275 785 1,727 3,925 8,635 43,175

Collatz Trajectory (194 steps to reach 1)

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

43,175 129,526 64,763 194,290 97,145 291,436 145,718 72,859 218,578 109,289 327,868 163,934 81,967 245,902 122,951 368,854 184,427 553,282 276,641 829,924 414,962 207,481 622,444 311,222 155,611 466,834 233,417 700,252 350,126 175,063 525,190 262,595 787,786 393,893 1,181,680 590,840 295,420 147,710 73,855 221,566 110,783 332,350 166,175 498,526 249,263 747,790 373,895 1,121,686 560,843 1,682,530 841,265 2,523,796 1,261,898 630,949 1,892,848 946,424 473,212 236,606 118,303 354,910

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