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Atlas › Integer Profiles › Node 2,787,904

2,787,904

26 × 73 × 127
Abundant Even Composite

2,787,904 factors as 2^6 × 7^3 × 127. Its 56 positive divisors give a proper-divisor sum of 3,714,496, so this integer is abundant. The Collatz stopping time is 182 steps.

Prime Factor Structure

Factorization String 2^6 × 7^3 × 127
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 6,502,400
Proper Divisor Sum 3,714,496
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #2787859 ← → #2787907

Radix Representation

Decimal 2787904
Binary 1010101000101001000000 (22 bits)
Octal 0o12505100
Hexadecimal 0x2A8A40

Divisor Catalog (56)

1 2 4 7 8 14 16 28 32 49 56 64 98 112 127 196 224 254 343 392 448 508 686 784 889 1,016 1,372 1,568 1,778 2,032 2,744 3,136 3,556 4,064 5,488 6,223 7,112 8,128 10,976 12,446 14,224 21,952 24,892 28,448 43,561 49,784 56,896 87,122 99,568 174,244 199,136 348,488 398,272 696,976 1,393,952 2,787,904

Collatz Trajectory (182 steps to reach 1)

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

2,787,904 1,393,952 696,976 348,488 174,244 87,122 43,561 130,684 65,342 32,671 98,014 49,007 147,022 73,511 220,534 110,267 330,802 165,401 496,204 248,102 124,051 372,154 186,077 558,232 279,116 139,558 69,779 209,338 104,669 314,008 157,004 78,502 39,251 117,754 58,877 176,632 88,316 44,158 22,079 66,238 33,119 99,358 49,679 149,038 74,519 223,558 111,779 335,338 167,669 503,008 251,504 125,752 62,876 31,438 15,719 47,158 23,579 70,738 35,369 106,108

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