7,431,640

2³ × 5 × 47 × 59 × 67

7,431,640 has digital root 7. The neighboring primes are 7431637 and 7431643; its proper-divisor sum differs from the starting integer by 2,762,320.

Prime Factor Structure

Factorization String 2^3 × 5 × 47 × 59 × 67

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 17,625,600

Proper Divisor Sum 10,193,960

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #7431637 ← → #7431643

Radix Representation

Decimal	7431640
Binary	11100010110010111011000 (23 bits)
Octal	0o34262730
Hexadecimal	0x7165D8

Divisor Catalog (60 of 64)

1 2 4 5 8 10 20 40 47 59 67 94 118 134 188 235 236 268 295 335 376 470 472 536 590 670 940 1,180 1,340 1,880 2,360 2,680 2,773 3,149 3,953 5,546 6,298 7,906 11,092 12,596 13,865 15,745 15,812 19,765 22,184 25,192 27,730 31,490 31,624 39,530 55,460 62,980 79,060 110,920 125,960 158,120 185,791 371,582 743,164 928,955

Collatz Trajectory (142 steps to reach 1)

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

7,431,640 3,715,820 1,857,910 928,955 2,786,866 1,393,433 4,180,300 2,090,150 1,045,075 3,135,226 1,567,613 4,702,840 2,351,420 1,175,710 587,855 1,763,566 881,783 2,645,350 1,322,675 3,968,026 1,984,013 5,952,040 2,976,020 1,488,010 744,005 2,232,016 1,116,008 558,004 279,002 139,501 418,504 209,252 104,626 52,313 156,940 78,470 39,235 117,706 58,853 176,560 88,280 44,140 22,070 11,035 33,106 16,553 49,660 24,830 12,415 37,246 18,623 55,870 27,935 83,806 41,903 125,710 62,855 188,566 94,283 282,850

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