λ
Integer Codex

2,734,765

5 × 11 × 19 × 2617
Deficient Odd Composite

For 2,734,765, the 16 positive divisors have a total of 3,769,920. Removing 2,734,765 leaves 1,035,155, which gives the deficient classification.

Prime Factor Structure

Factorization String 5 × 11 × 19 × 2617
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,769,920
Proper Divisor Sum 1,035,155
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #2734763 ← → #2734793

Radix Representation

Decimal 2734765
Binary 1010011011101010101101 (22 bits)
Octal 0o12335255
Hexadecimal 0x29BAAD

Divisor Catalog (16)

1 5 11 19 55 95 209 1,045 2,617 13,085 28,787 49,723 143,935 248,615 546,953 2,734,765

Collatz Trajectory (81 steps to reach 1)

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

2,734,765 8,204,296 4,102,148 2,051,074 1,025,537 3,076,612 1,538,306 769,153 2,307,460 1,153,730 576,865 1,730,596 865,298 432,649 1,297,948 648,974 324,487 973,462 486,731 1,460,194 730,097 2,190,292 1,095,146 547,573 1,642,720 821,360 410,680 205,340 102,670 51,335 154,006 77,003 231,010 115,505 346,516 173,258 86,629 259,888 129,944 64,972 32,486 16,243 48,730 24,365 73,096 36,548 18,274 9,137 27,412 13,706 6,853 20,560 10,280 5,140 2,570 1,285 3,856 1,928 964 482

More profiles

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