1,409,005

5 × 13 × 53 × 409

1,409,005 factors as 5 × 13 × 53 × 409. Its 16 positive divisors give a proper-divisor sum of 450,755, so this integer is deficient. The Collatz stopping time is 106 steps.

Prime Factor Structure

Factorization String 5 × 13 × 53 × 409

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,859,760

Proper Divisor Sum 450,755

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #1408999 ← → #1409017

Radix Representation

Decimal	1409005
Binary	101010111111111101101 (21 bits)
Octal	0o5277755
Hexadecimal	0x157FED

Divisor Catalog (16)

1 5 13 53 65 265 409 689 2,045 3,445 5,317 21,677 26,585 108,385 281,801 1,409,005

Collatz Trajectory (106 steps to reach 1)

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

1,409,005 4,227,016 2,113,508 1,056,754 528,377 1,585,132 792,566 396,283 1,188,850 594,425 1,783,276 891,638 445,819 1,337,458 668,729 2,006,188 1,003,094 501,547 1,504,642 752,321 2,256,964 1,128,482 564,241 1,692,724 846,362 423,181 1,269,544 634,772 317,386 158,693 476,080 238,040 119,020 59,510 29,755 89,266 44,633 133,900 66,950 33,475 100,426 50,213 150,640 75,320 37,660 18,830 9,415 28,246 14,123 42,370 21,185 63,556 31,778 15,889 47,668 23,834 11,917 35,752 17,876 8,938

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