1,073,176

2³ × 13 × 17 × 607

1,073,176 factors as 2^3 × 13 × 17 × 607. Its 32 positive divisors give a proper-divisor sum of 1,225,064, so this integer is abundant. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 2^3 × 13 × 17 × 607

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 2,298,240

Proper Divisor Sum 1,225,064

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #1073153 ← → #1073183

Radix Representation

Decimal	1073176
Binary	100000110000000011000 (21 bits)
Octal	0o4060030
Hexadecimal	0x106018

Divisor Catalog (32)

1 2 4 8 13 17 26 34 52 68 104 136 221 442 607 884 1,214 1,768 2,428 4,856 7,891 10,319 15,782 20,638 31,564 41,276 63,128 82,552 134,147 268,294 536,588 1,073,176

Collatz Trajectory (165 steps to reach 1)

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

1,073,176 536,588 268,294 134,147 402,442 201,221 603,664 301,832 150,916 75,458 37,729 113,188 56,594 28,297 84,892 42,446 21,223 63,670 31,835 95,506 47,753 143,260 71,630 35,815 107,446 53,723 161,170 80,585 241,756 120,878 60,439 181,318 90,659 271,978 135,989 407,968 203,984 101,992 50,996 25,498 12,749 38,248 19,124 9,562 4,781 14,344 7,172 3,586 1,793 5,380 2,690 1,345 4,036 2,018 1,009 3,028 1,514 757 2,272 1,136

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