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Atlas › Integer Profiles › Node 2,898,684

2,898,684

22 × 32 × 73 × 1103
Abundant Even Composite

2,898,684 factors as 2^2 × 3^2 × 73 × 1103. Its 36 positive divisors give a proper-divisor sum of 4,535,652, so this integer is abundant. The Collatz stopping time is 182 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 73 × 1103
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 7,434,336
Proper Divisor Sum 4,535,652
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #2898683 ← → #2898733

Radix Representation

Decimal 2898684
Binary 1011000011101011111100 (22 bits)
Octal 0o13035374
Hexadecimal 0x2C3AFC

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 73 146 219 292 438 657 876 1,103 1,314 2,206 2,628 3,309 4,412 6,618 9,927 13,236 19,854 39,708 80,519 161,038 241,557 322,076 483,114 724,671 966,228 1,449,342 2,898,684

Collatz Trajectory (182 steps to reach 1)

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

2,898,684 1,449,342 724,671 2,174,014 1,087,007 3,261,022 1,630,511 4,891,534 2,445,767 7,337,302 3,668,651 11,005,954 5,502,977 16,508,932 8,254,466 4,127,233 12,381,700 6,190,850 3,095,425 9,286,276 4,643,138 2,321,569 6,964,708 3,482,354 1,741,177 5,223,532 2,611,766 1,305,883 3,917,650 1,958,825 5,876,476 2,938,238 1,469,119 4,407,358 2,203,679 6,611,038 3,305,519 9,916,558 4,958,279 14,874,838 7,437,419 22,312,258 11,156,129 33,468,388 16,734,194 8,367,097 25,101,292 12,550,646 6,275,323 18,825,970 9,412,985 28,238,956 14,119,478 7,059,739 21,179,218 10,589,609 31,768,828 15,884,414 7,942,207 23,826,622

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