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Atlas › Integer Profiles › Node 24,601,400

24,601,400

23 × 52 × 123007
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5^2 × 123007
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 57,198,720
Proper Divisor Sum 32,597,320
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #24601399 ← → #24601417

Radix Representation

Decimal 24601400
Binary 1011101110110001100111000 (25 bits)
Octal 0o135661470
Hexadecimal 0x1776338

Divisor Catalog (24)

1 2 4 5 8 10 20 25 40 50 100 200 123,007 246,014 492,028 615,035 984,056 1,230,070 2,460,140 3,075,175 4,920,280 6,150,350 12,300,700 24,601,400

Collatz Trajectory (216 steps to reach 1)

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

24,601,400 12,300,700 6,150,350 3,075,175 9,225,526 4,612,763 13,838,290 6,919,145 20,757,436 10,378,718 5,189,359 15,568,078 7,784,039 23,352,118 11,676,059 35,028,178 17,514,089 52,542,268 26,271,134 13,135,567 39,406,702 19,703,351 59,110,054 29,555,027 88,665,082 44,332,541 132,997,624 66,498,812 33,249,406 16,624,703 49,874,110 24,937,055 74,811,166 37,405,583 112,216,750 56,108,375 168,325,126 84,162,563 252,487,690 126,243,845 378,731,536 189,365,768 94,682,884 47,341,442 23,670,721 71,012,164 35,506,082 17,753,041 53,259,124 26,629,562 13,314,781 39,944,344 19,972,172 9,986,086 4,993,043 14,979,130 7,489,565 22,468,696 11,234,348 5,617,174

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