λ
Integer Codex

1,406,895

3 × 5 × 7 × 13399
Deficient Odd Composite

For 1,406,895, the 16 positive divisors have a total of 2,572,800. Removing 1,406,895 leaves 1,165,905, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 13399
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,572,800
Proper Divisor Sum 1,165,905
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #1406879 ← → #1406897

Radix Representation

Decimal 1406895
Binary 101010111011110101111 (21 bits)
Octal 0o5273657
Hexadecimal 0x1577AF

Divisor Catalog (16)

1 3 5 7 15 21 35 105 13,399 40,197 66,995 93,793 200,985 281,379 468,965 1,406,895

Collatz Trajectory (168 steps to reach 1)

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

1,406,895 4,220,686 2,110,343 6,331,030 3,165,515 9,496,546 4,748,273 14,244,820 7,122,410 3,561,205 10,683,616 5,341,808 2,670,904 1,335,452 667,726 333,863 1,001,590 500,795 1,502,386 751,193 2,253,580 1,126,790 563,395 1,690,186 845,093 2,535,280 1,267,640 633,820 316,910 158,455 475,366 237,683 713,050 356,525 1,069,576 534,788 267,394 133,697 401,092 200,546 100,273 300,820 150,410 75,205 225,616 112,808 56,404 28,202 14,101 42,304 21,152 10,576 5,288 2,644 1,322 661 1,984 992 496 248

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