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Ratio Atlas
Atlas › Integer Profiles › Node 60,008,416

60,008,416

25 × 13 × 67 × 2153
Abundant Even Composite

60,008,416 factors as 2^5 × 13 × 67 × 2153. Its 48 positive divisors give a proper-divisor sum of 69,179,888, so this integer is abundant. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 2^5 × 13 × 67 × 2153
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 129,188,304
Proper Divisor Sum 69,179,888
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #60008411 ← → #60008437

Radix Representation

Decimal 60008416
Binary 11100100111010011111100000 (26 bits)
Octal 0o344723740
Hexadecimal 0x393A7E0

Divisor Catalog (48)

1 2 4 8 13 16 26 32 52 67 104 134 208 268 416 536 871 1,072 1,742 2,144 2,153 3,484 4,306 6,968 8,612 13,936 17,224 27,872 27,989 34,448 55,978 68,896 111,956 144,251 223,912 288,502 447,824 577,004 895,648 1,154,008 1,875,263 2,308,016 3,750,526 4,616,032 7,501,052 15,002,104 30,004,208 60,008,416

Collatz Trajectory (207 steps to reach 1)

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

60,008,416 30,004,208 15,002,104 7,501,052 3,750,526 1,875,263 5,625,790 2,812,895 8,438,686 4,219,343 12,658,030 6,329,015 18,987,046 9,493,523 28,480,570 14,240,285 42,720,856 21,360,428 10,680,214 5,340,107 16,020,322 8,010,161 24,030,484 12,015,242 6,007,621 18,022,864 9,011,432 4,505,716 2,252,858 1,126,429 3,379,288 1,689,644 844,822 422,411 1,267,234 633,617 1,900,852 950,426 475,213 1,425,640 712,820 356,410 178,205 534,616 267,308 133,654 66,827 200,482 100,241 300,724 150,362 75,181 225,544 112,772 56,386 28,193 84,580 42,290 21,145 63,436

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