λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,907,008

2,907,008

27 × 13 × 1747
Abundant Even Composite

2,907,008 factors as 2^7 × 13 × 1747. Its 32 positive divisors give a proper-divisor sum of 3,333,352, so this integer is abundant. The Collatz stopping time is 169 steps.

Prime Factor Structure

Factorization String 2^7 × 13 × 1747
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,240,360
Proper Divisor Sum 3,333,352
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #2906999 ← → #2907011

Radix Representation

Decimal 2907008
Binary 1011000101101110000000 (22 bits)
Octal 0o13055600
Hexadecimal 0x2C5B80

Divisor Catalog (32)

1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1,664 1,747 3,494 6,988 13,976 22,711 27,952 45,422 55,904 90,844 111,808 181,688 223,616 363,376 726,752 1,453,504 2,907,008

Collatz Trajectory (169 steps to reach 1)

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

2,907,008 1,453,504 726,752 363,376 181,688 90,844 45,422 22,711 68,134 34,067 102,202 51,101 153,304 76,652 38,326 19,163 57,490 28,745 86,236 43,118 21,559 64,678 32,339 97,018 48,509 145,528 72,764 36,382 18,191 54,574 27,287 81,862 40,931 122,794 61,397 184,192 92,096 46,048 23,024 11,512 5,756 2,878 1,439 4,318 2,159 6,478 3,239 9,718 4,859 14,578 7,289 21,868 10,934 5,467 16,402 8,201 24,604 12,302 6,151 18,454

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #2,907,007 Browse Full Index Next Integer #2,907,009 →