1,052,276

2² × 503 × 523

1,052,276 factors as 2^2 × 503 × 523. Its 12 positive divisors give a proper-divisor sum of 796,396, so this integer is deficient. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 2^2 × 503 × 523

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,848,672

Proper Divisor Sum 796,396

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #1052269 ← → #1052279

Radix Representation

Decimal	1052276
Binary	100000000111001110100 (21 bits)
Octal	0o4007164
Hexadecimal	0x100E74

Divisor Catalog (12)

1 2 4 503 523 1,006 1,046 2,012 2,092 263,069 526,138 1,052,276

Collatz Trajectory (165 steps to reach 1)

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

1,052,276 526,138 263,069 789,208 394,604 197,302 98,651 295,954 147,977 443,932 221,966 110,983 332,950 166,475 499,426 249,713 749,140 374,570 187,285 561,856 280,928 140,464 70,232 35,116 17,558 8,779 26,338 13,169 39,508 19,754 9,877 29,632 14,816 7,408 3,704 1,852 926 463 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31

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