997,132

2² × 109 × 2287

997,132 has digital root 4. The neighboring primes are 997123 and 997141; its proper-divisor sum differs from the starting integer by -232,504.

Prime Factor Structure

Factorization String 2^2 × 109 × 2287

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,761,760

Proper Divisor Sum 764,628

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #997123 ← → #997141

Radix Representation

Decimal	997132
Binary	11110011011100001100 (20 bits)
Octal	0o3633414
Hexadecimal	0xF370C

Divisor Catalog (12)

1 2 4 109 218 436 2,287 4,574 9,148 249,283 498,566 997,132

Collatz Trajectory (121 steps to reach 1)

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

997,132 498,566 249,283 747,850 373,925 1,121,776 560,888 280,444 140,222 70,111 210,334 105,167 315,502 157,751 473,254 236,627 709,882 354,941 1,064,824 532,412 266,206 133,103 399,310 199,655 598,966 299,483 898,450 449,225 1,347,676 673,838 336,919 1,010,758 505,379 1,516,138 758,069 2,274,208 1,137,104 568,552 284,276 142,138 71,069 213,208 106,604 53,302 26,651 79,954 39,977 119,932 59,966 29,983 89,950 44,975 134,926 67,463 202,390 101,195 303,586 151,793 455,380 227,690

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