λ
Integer Codex

1,410,584

23 × 7 × 25189
Abundant Even Composite

For 1,410,584, the 16 positive divisors have a total of 3,022,800. Removing 1,410,584 leaves 1,612,216, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^3 × 7 × 25189
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,022,800
Proper Divisor Sum 1,612,216
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #1410571 ← → #1410587

Radix Representation

Decimal 1410584
Binary 101011000011000011000 (21 bits)
Octal 0o5303030
Hexadecimal 0x158618

Divisor Catalog (16)

1 2 4 7 8 14 28 56 25,189 50,378 100,756 176,323 201,512 352,646 705,292 1,410,584

Collatz Trajectory (75 steps to reach 1)

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

1,410,584 705,292 352,646 176,323 528,970 264,485 793,456 396,728 198,364 99,182 49,591 148,774 74,387 223,162 111,581 334,744 167,372 83,686 41,843 125,530 62,765 188,296 94,148 47,074 23,537 70,612 35,306 17,653 52,960 26,480 13,240 6,620 3,310 1,655 4,966 2,483 7,450 3,725 11,176 5,588 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592 296 148 74 37 112 56 28 14 7

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