λ
Modular Archive

8,402,009

7 × 11 × 19 × 5743
Deficient Odd Composite

The decimal integer 8,402,009 is 100000000011010001011001 in binary (24 bits), 40032131 in octal and 803459 in hexadecimal. Its digit sum is 23.

Prime Factor Structure

Factorization String 7 × 11 × 19 × 5743
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 11,028,480
Proper Divisor Sum 2,626,471
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #8401999 ← → #8402027

Radix Representation

Decimal 8402009
Binary 100000000011010001011001 (24 bits)
Octal 0o40032131
Hexadecimal 0x803459

Divisor Catalog (16)

1 7 11 19 77 133 209 1,463 5,743 40,201 63,173 109,117 442,211 763,819 1,200,287 8,402,009

Collatz Trajectory (266 steps to reach 1)

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

8,402,009 25,206,028 12,603,014 6,301,507 18,904,522 9,452,261 28,356,784 14,178,392 7,089,196 3,544,598 1,772,299 5,316,898 2,658,449 7,975,348 3,987,674 1,993,837 5,981,512 2,990,756 1,495,378 747,689 2,243,068 1,121,534 560,767 1,682,302 841,151 2,523,454 1,261,727 3,785,182 1,892,591 5,677,774 2,838,887 8,516,662 4,258,331 12,774,994 6,387,497 19,162,492 9,581,246 4,790,623 14,371,870 7,185,935 21,557,806 10,778,903 32,336,710 16,168,355 48,505,066 24,252,533 72,757,600 36,378,800 18,189,400 9,094,700 4,547,350 2,273,675 6,821,026 3,410,513 10,231,540 5,115,770 2,557,885 7,673,656 3,836,828 1,918,414

More profiles

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