7,387,692

2² × 3 × 13 × 23 × 29 × 71

7,387,692 has digital root 6. The neighboring primes are 7387691 and 7387733; its proper-divisor sum differs from the starting integer by 5,545,896.

Prime Factor Structure

Factorization String 2^2 × 3 × 13 × 23 × 29 × 71

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 20,321,280

Proper Divisor Sum 12,933,588

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #7387691 ← → #7387733

Radix Representation

Decimal	7387692
Binary	11100001011101000101100 (23 bits)
Octal	0o34135054
Hexadecimal	0x70BA2C

Divisor Catalog (60 of 96)

1 2 3 4 6 12 13 23 26 29 39 46 52 58 69 71 78 87 92 116 138 142 156 174 213 276 284 299 348 377 426 598 667 754 852 897 923 1,131 1,196 1,334 1,508 1,633 1,794 1,846 2,001 2,059 2,262 2,668 2,769 3,266 3,588 3,692 4,002 4,118 4,524 4,899 5,538 6,177 6,532 8,004

Collatz Trajectory (160 steps to reach 1)

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

7,387,692 3,693,846 1,846,923 5,540,770 2,770,385 8,311,156 4,155,578 2,077,789 6,233,368 3,116,684 1,558,342 779,171 2,337,514 1,168,757 3,506,272 1,753,136 876,568 438,284 219,142 109,571 328,714 164,357 493,072 246,536 123,268 61,634 30,817 92,452 46,226 23,113 69,340 34,670 17,335 52,006 26,003 78,010 39,005 117,016 58,508 29,254 14,627 43,882 21,941 65,824 32,912 16,456 8,228 4,114 2,057 6,172 3,086 1,543 4,630 2,315 6,946 3,473 10,420 5,210 2,605 7,816

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