λ
Ratio Atlas
Atlas › Integer Profiles › Node 1,001,997

1,001,997

33 × 17 × 37 × 59
Deficient Odd Composite

1,001,997 factors as 3^3 × 17 × 37 × 59. Its 32 positive divisors give a proper-divisor sum of 639,603, so this integer is deficient. The Collatz stopping time is 152 steps.

Prime Factor Structure

Factorization String 3^3 × 17 × 37 × 59
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 1,641,600
Proper Divisor Sum 639,603
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1001989 ← → #1002017

Radix Representation

Decimal 1001997
Binary 11110100101000001101 (20 bits)
Octal 0o3645015
Hexadecimal 0xF4A0D

Divisor Catalog (32)

1 3 9 17 27 37 51 59 111 153 177 333 459 531 629 999 1,003 1,593 1,887 2,183 3,009 5,661 6,549 9,027 16,983 19,647 27,081 37,111 58,941 111,333 333,999 1,001,997

Collatz Trajectory (152 steps to reach 1)

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

1,001,997 3,005,992 1,502,996 751,498 375,749 1,127,248 563,624 281,812 140,906 70,453 211,360 105,680 52,840 26,420 13,210 6,605 19,816 9,908 4,954 2,477 7,432 3,716 1,858 929 2,788 1,394 697 2,092 1,046 523 1,570 785 2,356 1,178 589 1,768 884 442 221 664 332 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #1,001,996 Browse Full Index Next Integer #1,001,998 →