2,507,463

3³ × 7 × 13267

For 2,507,463, the 16 positive divisors have a total of 4,245,760. Removing 2,507,463 leaves 1,738,297, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^3 × 7 × 13267

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,245,760

Proper Divisor Sum 1,738,297

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2507413 ← → #2507467

Radix Representation

Decimal	2507463
Binary	1001100100001011000111 (22 bits)
Octal	0o11441307
Hexadecimal	0x2642C7

Divisor Catalog (16)

1 3 7 9 21 27 63 189 13,267 39,801 92,869 119,403 278,607 358,209 835,821 2,507,463

Collatz Trajectory (174 steps to reach 1)

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

2,507,463 7,522,390 3,761,195 11,283,586 5,641,793 16,925,380 8,462,690 4,231,345 12,694,036 6,347,018 3,173,509 9,520,528 4,760,264 2,380,132 1,190,066 595,033 1,785,100 892,550 446,275 1,338,826 669,413 2,008,240 1,004,120 502,060 251,030 125,515 376,546 188,273 564,820 282,410 141,205 423,616 211,808 105,904 52,952 26,476 13,238 6,619 19,858 9,929 29,788 14,894 7,447 22,342 11,171 33,514 16,757 50,272 25,136 12,568 6,284 3,142 1,571 4,714 2,357 7,072 3,536 1,768 884 442

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