2,741,767

7 × 61 × 6421

For 2,741,767, the 8 positive divisors have a total of 3,185,312. Removing 2,741,767 leaves 443,545, which gives the deficient classification.

Prime Factor Structure

Factorization String 7 × 61 × 6421

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 3,185,312

Proper Divisor Sum 443,545

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #2741759 ← → #2741773

Radix Representation

Decimal	2741767
Binary	1010011101011000000111 (22 bits)
Octal	0o12353007
Hexadecimal	0x29D607

Divisor Catalog (8)

1 7 61 427 6,421 44,947 391,681 2,741,767

Collatz Trajectory (107 steps to reach 1)

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

2,741,767 8,225,302 4,112,651 12,337,954 6,168,977 18,506,932 9,253,466 4,626,733 13,880,200 6,940,100 3,470,050 1,735,025 5,205,076 2,602,538 1,301,269 3,903,808 1,951,904 975,952 487,976 243,988 121,994 60,997 182,992 91,496 45,748 22,874 11,437 34,312 17,156 8,578 4,289 12,868 6,434 3,217 9,652 4,826 2,413 7,240 3,620 1,810 905 2,716 1,358 679 2,038 1,019 3,058 1,529 4,588 2,294 1,147 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906

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