λ
Integer Codex

2,465,802

2 × 34 × 31 × 491
Abundant Even Composite

For 2,465,802, the 40 positive divisors have a total of 5,715,072. Removing 2,465,802 leaves 3,249,270, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3^4 × 31 × 491
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 5,715,072
Proper Divisor Sum 3,249,270
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2465789 ← → #2465819

Radix Representation

Decimal 2465802
Binary 1001011010000000001010 (22 bits)
Octal 0o11320012
Hexadecimal 0x25A00A

Divisor Catalog (40)

1 2 3 6 9 18 27 31 54 62 81 93 162 186 279 491 558 837 982 1,473 1,674 2,511 2,946 4,419 5,022 8,838 13,257 15,221 26,514 30,442 39,771 45,663 79,542 91,326 136,989 273,978 410,967 821,934 1,232,901 2,465,802

Collatz Trajectory (81 steps to reach 1)

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

2,465,802 1,232,901 3,698,704 1,849,352 924,676 462,338 231,169 693,508 346,754 173,377 520,132 260,066 130,033 390,100 195,050 97,525 292,576 146,288 73,144 36,572 18,286 9,143 27,430 13,715 41,146 20,573 61,720 30,860 15,430 7,715 23,146 11,573 34,720 17,360 8,680 4,340 2,170 1,085 3,256 1,628 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74

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