172,450

2 × 5² × 3449

172,450 has digital root 1. The neighboring primes are 172441 and 172489; its proper-divisor sum differs from the starting integer by -24,050.

Prime Factor Structure

Factorization String 2 × 5^2 × 3449

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 320,850

Proper Divisor Sum 148,400

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #172441 ← → #172489

Radix Representation

Decimal	172450
Binary	101010000110100010 (18 bits)
Octal	0o520642
Hexadecimal	0x2A1A2

Divisor Catalog (12)

1 2 5 10 25 50 3,449 6,898 17,245 34,490 86,225 172,450

Collatz Trajectory (77 steps to reach 1)

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

172,450 86,225 258,676 129,338 64,669 194,008 97,004 48,502 24,251 72,754 36,377 109,132 54,566 27,283 81,850 40,925 122,776 61,388 30,694 15,347 46,042 23,021 69,064 34,532 17,266 8,633 25,900 12,950 6,475 19,426 9,713 29,140 14,570 7,285 21,856 10,928 5,464 2,732 1,366 683 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184

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