7,465,628

2² × 109 × 17123

7,465,628 factors as 2^2 × 109 × 17123. Its 12 positive divisors give a proper-divisor sum of 5,719,852, so this integer is deficient. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 2^2 × 109 × 17123

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 13,185,480

Proper Divisor Sum 5,719,852

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #7465603 ← → #7465631

Radix Representation

Decimal	7465628
Binary	11100011110101010011100 (23 bits)
Octal	0o34365234
Hexadecimal	0x71EA9C

Divisor Catalog (12)

1 2 4 109 218 436 17,123 34,246 68,492 1,866,407 3,732,814 7,465,628

Collatz Trajectory (160 steps to reach 1)

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

7,465,628 3,732,814 1,866,407 5,599,222 2,799,611 8,398,834 4,199,417 12,598,252 6,299,126 3,149,563 9,448,690 4,724,345 14,173,036 7,086,518 3,543,259 10,629,778 5,314,889 15,944,668 7,972,334 3,986,167 11,958,502 5,979,251 17,937,754 8,968,877 26,906,632 13,453,316 6,726,658 3,363,329 10,089,988 5,044,994 2,522,497 7,567,492 3,783,746 1,891,873 5,675,620 2,837,810 1,418,905 4,256,716 2,128,358 1,064,179 3,192,538 1,596,269 4,788,808 2,394,404 1,197,202 598,601 1,795,804 897,902 448,951 1,346,854 673,427 2,020,282 1,010,141 3,030,424 1,515,212 757,606 378,803 1,136,410 568,205 1,704,616

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