1,109,459

13 × 31 × 2753

1,109,459 factors as 13 × 31 × 2753. Its 8 positive divisors give a proper-divisor sum of 124,333, so this integer is deficient. The Collatz stopping time is 139 steps.

Prime Factor Structure

Factorization String 13 × 31 × 2753

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,233,792

Proper Divisor Sum 124,333

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #1109431 ← → #1109473

Radix Representation

Decimal	1109459
Binary	100001110110111010011 (21 bits)
Octal	0o4166723
Hexadecimal	0x10EDD3

Divisor Catalog (8)

1 13 31 403 2,753 35,789 85,343 1,109,459

Collatz Trajectory (139 steps to reach 1)

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

1,109,459 3,328,378 1,664,189 4,992,568 2,496,284 1,248,142 624,071 1,872,214 936,107 2,808,322 1,404,161 4,212,484 2,106,242 1,053,121 3,159,364 1,579,682 789,841 2,369,524 1,184,762 592,381 1,777,144 888,572 444,286 222,143 666,430 333,215 999,646 499,823 1,499,470 749,735 2,249,206 1,124,603 3,373,810 1,686,905 5,060,716 2,530,358 1,265,179 3,795,538 1,897,769 5,693,308 2,846,654 1,423,327 4,269,982 2,134,991 6,404,974 3,202,487 9,607,462 4,803,731 14,411,194 7,205,597 21,616,792 10,808,396 5,404,198 2,702,099 8,106,298 4,053,149 12,159,448 6,079,724 3,039,862 1,519,931

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