7,780,367

7² × 19 × 61 × 137

For 7,780,367, the 24 positive divisors have a total of 9,753,840. Removing 7,780,367 leaves 1,973,473, which gives the deficient classification.

Prime Factor Structure

Factorization String 7^2 × 19 × 61 × 137

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 9,753,840

Proper Divisor Sum 1,973,473

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #7780351 ← → #7780369

Radix Representation

Decimal	7780367
Binary	11101101011100000001111 (23 bits)
Octal	0o35534017
Hexadecimal	0x76B80F

Divisor Catalog (24)

1 7 19 49 61 133 137 427 931 959 1,159 2,603 2,989 6,713 8,113 8,357 18,221 56,791 58,499 127,547 158,783 409,493 1,111,481 7,780,367

Collatz Trajectory (204 steps to reach 1)

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

7,780,367 23,341,102 11,670,551 35,011,654 17,505,827 52,517,482 26,258,741 78,776,224 39,388,112 19,694,056 9,847,028 4,923,514 2,461,757 7,385,272 3,692,636 1,846,318 923,159 2,769,478 1,384,739 4,154,218 2,077,109 6,231,328 3,115,664 1,557,832 778,916 389,458 194,729 584,188 292,094 146,047 438,142 219,071 657,214 328,607 985,822 492,911 1,478,734 739,367 2,218,102 1,109,051 3,327,154 1,663,577 4,990,732 2,495,366 1,247,683 3,743,050 1,871,525 5,614,576 2,807,288 1,403,644 701,822 350,911 1,052,734 526,367 1,579,102 789,551 2,368,654 1,184,327 3,552,982 1,776,491

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