7,836,729

3 × 2612243

For 7,836,729, the 4 positive divisors have a total of 10,448,976. Removing 7,836,729 leaves 2,612,247, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 2612243

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 10,448,976

Proper Divisor Sum 2,612,247

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #7836713 ← → #7836737

Radix Representation

Decimal	7836729
Binary	11101111001010000111001 (23 bits)
Octal	0o35712071
Hexadecimal	0x779439

Divisor Catalog (4)

1 3 2,612,243 7,836,729

Collatz Trajectory (155 steps to reach 1)

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

7,836,729 23,510,188 11,755,094 5,877,547 17,632,642 8,816,321 26,448,964 13,224,482 6,612,241 19,836,724 9,918,362 4,959,181 14,877,544 7,438,772 3,719,386 1,859,693 5,579,080 2,789,540 1,394,770 697,385 2,092,156 1,046,078 523,039 1,569,118 784,559 2,353,678 1,176,839 3,530,518 1,765,259 5,295,778 2,647,889 7,943,668 3,971,834 1,985,917 5,957,752 2,978,876 1,489,438 744,719 2,234,158 1,117,079 3,351,238 1,675,619 5,026,858 2,513,429 7,540,288 3,770,144 1,885,072 942,536 471,268 235,634 117,817 353,452 176,726 88,363 265,090 132,545 397,636 198,818 99,409 298,228

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