7,346,740

2² × 5 × 101 × 3637

7,346,740 has digital root 4. The neighboring primes are 7346707 and 7346761; its proper-divisor sum differs from the starting integer by 891,712.

Prime Factor Structure

Factorization String 2^2 × 5 × 101 × 3637

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 15,585,192

Proper Divisor Sum 8,238,452

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #7346707 ← → #7346761

Radix Representation

Decimal	7346740
Binary	11100000001101000110100 (23 bits)
Octal	0o34015064
Hexadecimal	0x701A34

Divisor Catalog (24)

1 2 4 5 10 20 101 202 404 505 1,010 2,020 3,637 7,274 14,548 18,185 36,370 72,740 367,337 734,674 1,469,348 1,836,685 3,673,370 7,346,740

Collatz Trajectory (173 steps to reach 1)

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

7,346,740 3,673,370 1,836,685 5,510,056 2,755,028 1,377,514 688,757 2,066,272 1,033,136 516,568 258,284 129,142 64,571 193,714 96,857 290,572 145,286 72,643 217,930 108,965 326,896 163,448 81,724 40,862 20,431 61,294 30,647 91,942 45,971 137,914 68,957 206,872 103,436 51,718 25,859 77,578 38,789 116,368 58,184 29,092 14,546 7,273 21,820 10,910 5,455 16,366 8,183 24,550 12,275 36,826 18,413 55,240 27,620 13,810 6,905 20,716 10,358 5,179 15,538 7,769

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