3,036,761

7 × 13² × 17 × 151

For 3,036,761, the 24 positive divisors have a total of 4,005,504. Removing 3,036,761 leaves 968,743, which gives the deficient classification.

Prime Factor Structure

Factorization String 7 × 13^2 × 17 × 151

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 4,005,504

Proper Divisor Sum 968,743

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #3036757 ← → #3036797

Radix Representation

Decimal	3036761
Binary	1011100101011001011001 (22 bits)
Octal	0o13453131
Hexadecimal	0x2E5659

Divisor Catalog (24)

1 7 13 17 91 119 151 169 221 1,057 1,183 1,547 1,963 2,567 2,873 13,741 17,969 20,111 25,519 33,371 178,633 233,597 433,823 3,036,761

Collatz Trajectory (133 steps to reach 1)

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

3,036,761 9,110,284 4,555,142 2,277,571 6,832,714 3,416,357 10,249,072 5,124,536 2,562,268 1,281,134 640,567 1,921,702 960,851 2,882,554 1,441,277 4,323,832 2,161,916 1,080,958 540,479 1,621,438 810,719 2,432,158 1,216,079 3,648,238 1,824,119 5,472,358 2,736,179 8,208,538 4,104,269 12,312,808 6,156,404 3,078,202 1,539,101 4,617,304 2,308,652 1,154,326 577,163 1,731,490 865,745 2,597,236 1,298,618 649,309 1,947,928 973,964 486,982 243,491 730,474 365,237 1,095,712 547,856 273,928 136,964 68,482 34,241 102,724 51,362 25,681 77,044 38,522 19,261

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