7,632,742

2 × 13 × 29 × 53 × 191

7,632,742 has digital root 4. The neighboring primes are 7632733 and 7632791; its proper-divisor sum differs from the starting integer by -2,201,804.

Prime Factor Structure

Factorization String 2 × 13 × 29 × 53 × 191

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 13,063,680

Proper Divisor Sum 5,430,938

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #7632733 ← → #7632791

Radix Representation

Decimal	7632742
Binary	11101000111011101100110 (23 bits)
Octal	0o35073546
Hexadecimal	0x747766

Divisor Catalog (32)

1 2 13 26 29 53 58 106 191 377 382 689 754 1,378 1,537 2,483 3,074 4,966 5,539 10,123 11,078 19,981 20,246 39,962 72,007 131,599 144,014 263,198 293,567 587,134 3,816,371 7,632,742

Collatz Trajectory (248 steps to reach 1)

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

7,632,742 3,816,371 11,449,114 5,724,557 17,173,672 8,586,836 4,293,418 2,146,709 6,440,128 3,220,064 1,610,032 805,016 402,508 201,254 100,627 301,882 150,941 452,824 226,412 113,206 56,603 169,810 84,905 254,716 127,358 63,679 191,038 95,519 286,558 143,279 429,838 214,919 644,758 322,379 967,138 483,569 1,450,708 725,354 362,677 1,088,032 544,016 272,008 136,004 68,002 34,001 102,004 51,002 25,501 76,504 38,252 19,126 9,563 28,690 14,345 43,036 21,518 10,759 32,278 16,139 48,418

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