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Atlas › Integer Profiles › Node 77,611,492

77,611,492

22 × 72 × 359 × 1103
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 7^2 × 359 × 1103
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 158,578,560
Proper Divisor Sum 80,967,068
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #77611481 ← → #77611493

Radix Representation

Decimal 77611492
Binary 100101000000100000111100100 (27 bits)
Octal 0o450040744
Hexadecimal 0x4A041E4

Divisor Catalog (36)

1 2 4 7 14 28 49 98 196 359 718 1,103 1,436 2,206 2,513 4,412 5,026 7,721 10,052 15,442 17,591 30,884 35,182 54,047 70,364 108,094 216,188 395,977 791,954 1,583,908 2,771,839 5,543,678 11,087,356 19,402,873 38,805,746 77,611,492

Collatz Trajectory (202 steps to reach 1)

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

77,611,492 38,805,746 19,402,873 58,208,620 29,104,310 14,552,155 43,656,466 21,828,233 65,484,700 32,742,350 16,371,175 49,113,526 24,556,763 73,670,290 36,835,145 110,505,436 55,252,718 27,626,359 82,879,078 41,439,539 124,318,618 62,159,309 186,477,928 93,238,964 46,619,482 23,309,741 69,929,224 34,964,612 17,482,306 8,741,153 26,223,460 13,111,730 6,555,865 19,667,596 9,833,798 4,916,899 14,750,698 7,375,349 22,126,048 11,063,024 5,531,512 2,765,756 1,382,878 691,439 2,074,318 1,037,159 3,111,478 1,555,739 4,667,218 2,333,609 7,000,828 3,500,414 1,750,207 5,250,622 2,625,311 7,875,934 3,937,967 11,813,902 5,906,951 17,720,854

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