7,361,735

5 × 823 × 1789

7,361,735 factors as 5 × 823 × 1789. Its 8 positive divisors give a proper-divisor sum of 1,488,025, so this integer is deficient. The Collatz stopping time is 204 steps.

Prime Factor Structure

Factorization String 5 × 823 × 1789

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 8,849,760

Proper Divisor Sum 1,488,025

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #7361701 ← → #7361741

Radix Representation

Decimal	7361735
Binary	11100000101010011000111 (23 bits)
Octal	0o34052307
Hexadecimal	0x7054C7

Divisor Catalog (8)

1 5 823 1,789 4,115 8,945 1,472,347 7,361,735

Collatz Trajectory (204 steps to reach 1)

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

7,361,735 22,085,206 11,042,603 33,127,810 16,563,905 49,691,716 24,845,858 12,422,929 37,268,788 18,634,394 9,317,197 27,951,592 13,975,796 6,987,898 3,493,949 10,481,848 5,240,924 2,620,462 1,310,231 3,930,694 1,965,347 5,896,042 2,948,021 8,844,064 4,422,032 2,211,016 1,105,508 552,754 276,377 829,132 414,566 207,283 621,850 310,925 932,776 466,388 233,194 116,597 349,792 174,896 87,448 43,724 21,862 10,931 32,794 16,397 49,192 24,596 12,298 6,149 18,448 9,224 4,612 2,306 1,153 3,460 1,730 865 2,596 1,298

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