526,124

2² × 103 × 1277

526,124 factors as 2^2 × 103 × 1277. Its 12 positive divisors give a proper-divisor sum of 404,260, so this integer is deficient. The Collatz stopping time is 164 steps.

Prime Factor Structure

Factorization String 2^2 × 103 × 1277

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 930,384

Proper Divisor Sum 404,260

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #526121 ← → #526139

Radix Representation

Decimal	526124
Binary	10000000011100101100 (20 bits)
Octal	0o2003454
Hexadecimal	0x8072C

Divisor Catalog (12)

1 2 4 103 206 412 1,277 2,554 5,108 131,531 263,062 526,124

Collatz Trajectory (164 steps to reach 1)

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

526,124 263,062 131,531 394,594 197,297 591,892 295,946 147,973 443,920 221,960 110,980 55,490 27,745 83,236 41,618 20,809 62,428 31,214 15,607 46,822 23,411 70,234 35,117 105,352 52,676 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 94

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