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7,304,740

22 × 5 × 19 × 47 × 409
Abundant Even Composite

7,304,740 factors as 2^2 × 5 × 19 × 47 × 409. Its 48 positive divisors give a proper-divisor sum of 9,226,460, so this integer is abundant. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 19 × 47 × 409
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 16,531,200
Proper Divisor Sum 9,226,460
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #7304729 ← → #7304749

Radix Representation

Decimal 7304740
Binary 11011110111011000100100 (23 bits)
Octal 0o33673044
Hexadecimal 0x6F7624

Divisor Catalog (48)

1 2 4 5 10 19 20 38 47 76 94 95 188 190 235 380 409 470 818 893 940 1,636 1,786 2,045 3,572 4,090 4,465 7,771 8,180 8,930 15,542 17,860 19,223 31,084 38,446 38,855 76,892 77,710 96,115 155,420 192,230 365,237 384,460 730,474 1,460,948 1,826,185 3,652,370 7,304,740

Collatz Trajectory (142 steps to reach 1)

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

7,304,740 3,652,370 1,826,185 5,478,556 2,739,278 1,369,639 4,108,918 2,054,459 6,163,378 3,081,689 9,245,068 4,622,534 2,311,267 6,933,802 3,466,901 10,400,704 5,200,352 2,600,176 1,300,088 650,044 325,022 162,511 487,534 243,767 731,302 365,651 1,096,954 548,477 1,645,432 822,716 411,358 205,679 617,038 308,519 925,558 462,779 1,388,338 694,169 2,082,508 1,041,254 520,627 1,561,882 780,941 2,342,824 1,171,412 585,706 292,853 878,560 439,280 219,640 109,820 54,910 27,455 82,366 41,183 123,550 61,775 185,326 92,663 277,990

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