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Atlas › Integer Profiles › Node 4,636,710

4,636,710

2 × 33 × 5 × 13 × 1321
Abundant Even Composite

4,636,710 factors as 2 × 3^3 × 5 × 13 × 1321. Its 64 positive divisors give a proper-divisor sum of 8,689,050, so this integer is abundant. The Collatz stopping time is 162 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 5 × 13 × 1321
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 13,325,760
Proper Divisor Sum 8,689,050
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4636693 ← → #4636711

Radix Representation

Decimal 4636710
Binary 10001101100000000100110 (23 bits)
Octal 0o21540046
Hexadecimal 0x46C026

Divisor Catalog (60 of 64)

1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 234 270 351 390 585 702 1,170 1,321 1,755 2,642 3,510 3,963 6,605 7,926 11,889 13,210 17,173 19,815 23,778 34,346 35,667 39,630 51,519 59,445 71,334 85,865 103,038 118,890 154,557 171,730 178,335 257,595 309,114 356,670 463,671 515,190 772,785

Collatz Trajectory (162 steps to reach 1)

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

4,636,710 2,318,355 6,955,066 3,477,533 10,432,600 5,216,300 2,608,150 1,304,075 3,912,226 1,956,113 5,868,340 2,934,170 1,467,085 4,401,256 2,200,628 1,100,314 550,157 1,650,472 825,236 412,618 206,309 618,928 309,464 154,732 77,366 38,683 116,050 58,025 174,076 87,038 43,519 130,558 65,279 195,838 97,919 293,758 146,879 440,638 220,319 660,958 330,479 991,438 495,719 1,487,158 743,579 2,230,738 1,115,369 3,346,108 1,673,054 836,527 2,509,582 1,254,791 3,764,374 1,882,187 5,646,562 2,823,281 8,469,844 4,234,922 2,117,461 6,352,384

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