λ
Harmonic Matrix

7,735,355

5 × 1039 × 1489
Deficient Odd Composite

7,735,355 has digital root 8. The neighboring primes are 7735333 and 7735361; its proper-divisor sum differs from the starting integer by -6,173,110.

Prime Factor Structure

Factorization String 5 × 1039 × 1489
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,297,600
Proper Divisor Sum 1,562,245
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #7735333 ← → #7735361

Radix Representation

Decimal 7735355
Binary 11101100000100000111011 (23 bits)
Octal 0o35404073
Hexadecimal 0x76083B

Divisor Catalog (8)

1 5 1,039 1,489 5,195 7,445 1,547,071 7,735,355

Collatz Trajectory (124 steps to reach 1)

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

7,735,355 23,206,066 11,603,033 34,809,100 17,404,550 8,702,275 26,106,826 13,053,413 39,160,240 19,580,120 9,790,060 4,895,030 2,447,515 7,342,546 3,671,273 11,013,820 5,506,910 2,753,455 8,260,366 4,130,183 12,390,550 6,195,275 18,585,826 9,292,913 27,878,740 13,939,370 6,969,685 20,909,056 10,454,528 5,227,264 2,613,632 1,306,816 653,408 326,704 163,352 81,676 40,838 20,419 61,258 30,629 91,888 45,944 22,972 11,486 5,743 17,230 8,615 25,846 12,923 38,770 19,385 58,156 29,078 14,539 43,618 21,809 65,428 32,714 16,357 49,072

More profiles

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