1,757,763

3² × 7 × 27901

1,757,763 factors as 3^2 × 7 × 27901. Its 12 positive divisors give a proper-divisor sum of 1,144,045, so this integer is deficient. The Collatz stopping time is 96 steps.

Prime Factor Structure

Factorization String 3^2 × 7 × 27901

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 2,901,808

Proper Divisor Sum 1,144,045

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #1757741 ← → #1757771

Radix Representation

Decimal	1757763
Binary	110101101001001000011 (21 bits)
Octal	0o6551103
Hexadecimal	0x1AD243

Divisor Catalog (12)

1 3 7 9 21 63 27,901 83,703 195,307 251,109 585,921 1,757,763

Collatz Trajectory (96 steps to reach 1)

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

1,757,763 5,273,290 2,636,645 7,909,936 3,954,968 1,977,484 988,742 494,371 1,483,114 741,557 2,224,672 1,112,336 556,168 278,084 139,042 69,521 208,564 104,282 52,141 156,424 78,212 39,106 19,553 58,660 29,330 14,665 43,996 21,998 10,999 32,998 16,499 49,498 24,749 74,248 37,124 18,562 9,281 27,844 13,922 6,961 20,884 10,442 5,221 15,664 7,832 3,916 1,958 979 2,938 1,469 4,408 2,204 1,102 551 1,654 827 2,482 1,241 3,724 1,862

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