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Atlas › Integer Profiles › Node 2,225,490

2,225,490

2 × 3 × 5 × 31 × 2393
Abundant Even Composite

2,225,490 factors as 2 × 3 × 5 × 31 × 2393. Its 32 positive divisors give a proper-divisor sum of 3,290,286, so this integer is abundant. The Collatz stopping time is 166 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 31 × 2393
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,515,776
Proper Divisor Sum 3,290,286
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2225473 ← → #2225491

Radix Representation

Decimal 2225490
Binary 1000011111010101010010 (22 bits)
Octal 0o10372522
Hexadecimal 0x21F552

Divisor Catalog (32)

1 2 3 5 6 10 15 30 31 62 93 155 186 310 465 930 2,393 4,786 7,179 11,965 14,358 23,930 35,895 71,790 74,183 148,366 222,549 370,915 445,098 741,830 1,112,745 2,225,490

Collatz Trajectory (166 steps to reach 1)

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

2,225,490 1,112,745 3,338,236 1,669,118 834,559 2,503,678 1,251,839 3,755,518 1,877,759 5,633,278 2,816,639 8,449,918 4,224,959 12,674,878 6,337,439 19,012,318 9,506,159 28,518,478 14,259,239 42,777,718 21,388,859 64,166,578 32,083,289 96,249,868 48,124,934 24,062,467 72,187,402 36,093,701 108,281,104 54,140,552 27,070,276 13,535,138 6,767,569 20,302,708 10,151,354 5,075,677 15,227,032 7,613,516 3,806,758 1,903,379 5,710,138 2,855,069 8,565,208 4,282,604 2,141,302 1,070,651 3,211,954 1,605,977 4,817,932 2,408,966 1,204,483 3,613,450 1,806,725 5,420,176 2,710,088 1,355,044 677,522 338,761 1,016,284 508,142

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