λ
Prime Ledger

6,962,767

7 × 23 × 59 × 733
Deficient Odd Composite

6,962,767 has the prime decomposition 7 × 23 × 59 × 733. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 7 × 23 × 59 × 733
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,455,680
Proper Divisor Sum 1,492,913
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #6962719 ← → #6962777

Radix Representation

Decimal 6962767
Binary 11010100011111001001111 (23 bits)
Octal 0o32437117
Hexadecimal 0x6A3E4F

Divisor Catalog (16)

1 7 23 59 161 413 733 1,357 5,131 9,499 16,859 43,247 118,013 302,729 994,681 6,962,767

Collatz Trajectory (222 steps to reach 1)

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

6,962,767 20,888,302 10,444,151 31,332,454 15,666,227 46,998,682 23,499,341 70,498,024 35,249,012 17,624,506 8,812,253 26,436,760 13,218,380 6,609,190 3,304,595 9,913,786 4,956,893 14,870,680 7,435,340 3,717,670 1,858,835 5,576,506 2,788,253 8,364,760 4,182,380 2,091,190 1,045,595 3,136,786 1,568,393 4,705,180 2,352,590 1,176,295 3,528,886 1,764,443 5,293,330 2,646,665 7,939,996 3,969,998 1,984,999 5,954,998 2,977,499 8,932,498 4,466,249 13,398,748 6,699,374 3,349,687 10,049,062 5,024,531 15,073,594 7,536,797 22,610,392 11,305,196 5,652,598 2,826,299 8,478,898 4,239,449 12,718,348 6,359,174 3,179,587 9,538,762

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