λ
Integer Codex

2,835,118

2 × 11 × 13 × 23 × 431
Deficient Even Composite

For 2,835,118, the 32 positive divisors have a total of 5,225,472. Removing 2,835,118 leaves 2,390,354, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 11 × 13 × 23 × 431
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,225,472
Proper Divisor Sum 2,390,354
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #2835113 ← → #2835121

Radix Representation

Decimal 2835118
Binary 1010110100001010101110 (22 bits)
Octal 0o12641256
Hexadecimal 0x2B42AE

Divisor Catalog (32)

1 2 11 13 22 23 26 46 143 253 286 299 431 506 598 862 3,289 4,741 5,603 6,578 9,482 9,913 11,206 19,826 61,633 109,043 123,266 128,869 218,086 257,738 1,417,559 2,835,118

Collatz Trajectory (107 steps to reach 1)

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

2,835,118 1,417,559 4,252,678 2,126,339 6,379,018 3,189,509 9,568,528 4,784,264 2,392,132 1,196,066 598,033 1,794,100 897,050 448,525 1,345,576 672,788 336,394 168,197 504,592 252,296 126,148 63,074 31,537 94,612 47,306 23,653 70,960 35,480 17,740 8,870 4,435 13,306 6,653 19,960 9,980 4,990 2,495 7,486 3,743 11,230 5,615 16,846 8,423 25,270 12,635 37,906 18,953 56,860 28,430 14,215 42,646 21,323 63,970 31,985 95,956 47,978 23,989 71,968 35,984 17,992

More profiles

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