6,771,752

2³ × 13 × 19 × 23 × 149

6,771,752 has digital root 8. The neighboring primes are 6771719 and 6771799; its proper-divisor sum differs from the starting integer by 1,576,496.

Prime Factor Structure

Factorization String 2^3 × 13 × 19 × 23 × 149

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 15,120,000

Proper Divisor Sum 8,348,248

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #6771719 ← → #6771799

Radix Representation

Decimal	6771752
Binary	11001110101010000101000 (23 bits)
Octal	0o31652050
Hexadecimal	0x675428

Divisor Catalog (60 of 64)

1 2 4 8 13 19 23 26 38 46 52 76 92 104 149 152 184 247 298 299 437 494 596 598 874 988 1,192 1,196 1,748 1,937 1,976 2,392 2,831 3,427 3,496 3,874 5,662 5,681 6,854 7,748 11,324 11,362 13,708 15,496 22,648 22,724 27,416 36,803 44,551 45,448 65,113 73,606 89,102 130,226 147,212 178,204 260,452 294,424 356,408 520,904

Collatz Trajectory (147 steps to reach 1)

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

6,771,752 3,385,876 1,692,938 846,469 2,539,408 1,269,704 634,852 317,426 158,713 476,140 238,070 119,035 357,106 178,553 535,660 267,830 133,915 401,746 200,873 602,620 301,310 150,655 451,966 225,983 677,950 338,975 1,016,926 508,463 1,525,390 762,695 2,288,086 1,144,043 3,432,130 1,716,065 5,148,196 2,574,098 1,287,049 3,861,148 1,930,574 965,287 2,895,862 1,447,931 4,343,794 2,171,897 6,515,692 3,257,846 1,628,923 4,886,770 2,443,385 7,330,156 3,665,078 1,832,539 5,497,618 2,748,809 8,246,428 4,123,214 2,061,607 6,184,822 3,092,411 9,277,234

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