λ
Math Directory

1,400,657

691 × 2027
Deficient Odd Composite

1,400,657 factors as 691 × 2027. Its 4 positive divisors give a proper-divisor sum of 2,719, so this integer is deficient. The Collatz stopping time is 75 steps.

Prime Factor Structure

Factorization String 691 × 2027
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,403,376
Proper Divisor Sum 2,719
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #1400653 ← → #1400669

Radix Representation

Decimal 1400657
Binary 101010101111101010001 (21 bits)
Octal 0o5257521
Hexadecimal 0x155F51

Divisor Catalog (4)

1 691 2,027 1,400,657

Collatz Trajectory (75 steps to reach 1)

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

1,400,657 4,201,972 2,100,986 1,050,493 3,151,480 1,575,740 787,870 393,935 1,181,806 590,903 1,772,710 886,355 2,659,066 1,329,533 3,988,600 1,994,300 997,150 498,575 1,495,726 747,863 2,243,590 1,121,795 3,365,386 1,682,693 5,048,080 2,524,040 1,262,020 631,010 315,505 946,516 473,258 236,629 709,888 354,944 177,472 88,736 44,368 22,184 11,092 5,546 2,773 8,320 4,160 2,080 1,040 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7

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