1,397,263

7 × 31 × 47 × 137

1,397,263 factors as 7 × 31 × 47 × 137. Its 16 positive divisors give a proper-divisor sum of 298,481, so this integer is deficient. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 7 × 31 × 47 × 137

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,695,744

Proper Divisor Sum 298,481

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #1397261 ← → #1397267

Radix Representation

Decimal	1397263
Binary	101010101001000001111 (21 bits)
Octal	0o5251017
Hexadecimal	0x15520F

Divisor Catalog (16)

1 7 31 47 137 217 329 959 1,457 4,247 6,439 10,199 29,729 45,073 199,609 1,397,263

Collatz Trajectory (199 steps to reach 1)

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

1,397,263 4,191,790 2,095,895 6,287,686 3,143,843 9,431,530 4,715,765 14,147,296 7,073,648 3,536,824 1,768,412 884,206 442,103 1,326,310 663,155 1,989,466 994,733 2,984,200 1,492,100 746,050 373,025 1,119,076 559,538 279,769 839,308 419,654 209,827 629,482 314,741 944,224 472,112 236,056 118,028 59,014 29,507 88,522 44,261 132,784 66,392 33,196 16,598 8,299 24,898 12,449 37,348 18,674 9,337 28,012 14,006 7,003 21,010 10,505 31,516 15,758 7,879 23,638 11,819 35,458 17,729 53,188

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