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Atlas › Integer Profiles › Node 1,166,528

1,166,528

26 × 11 × 1657
Abundant Even Composite

1,166,528 factors as 2^6 × 11 × 1657. Its 28 positive divisors give a proper-divisor sum of 1,360,264, so this integer is abundant. The Collatz stopping time is 67 steps.

Prime Factor Structure

Factorization String 2^6 × 11 × 1657
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 2,526,792
Proper Divisor Sum 1,360,264
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #1166527 ← → #1166531

Radix Representation

Decimal 1166528
Binary 100011100110011000000 (21 bits)
Octal 0o4346300
Hexadecimal 0x11CCC0

Divisor Catalog (28)

1 2 4 8 11 16 22 32 44 64 88 176 352 704 1,657 3,314 6,628 13,256 18,227 26,512 36,454 53,024 72,908 106,048 145,816 291,632 583,264 1,166,528

Collatz Trajectory (67 steps to reach 1)

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

1,166,528 583,264 291,632 145,816 72,908 36,454 18,227 54,682 27,341 82,024 41,012 20,506 10,253 30,760 15,380 7,690 3,845 11,536 5,768 2,884 1,442 721 2,164 1,082 541 1,624 812 406 203 610 305 916 458 229 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40

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