λ
Integer Codex

6,786,461

11 × 616951
Deficient Odd Composite

For 6,786,461, the 4 positive divisors have a total of 7,403,424. Removing 6,786,461 leaves 616,963, which gives the deficient classification.

Prime Factor Structure

Factorization String 11 × 616951
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,403,424
Proper Divisor Sum 616,963
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #6786457 ← → #6786467

Radix Representation

Decimal 6786461
Binary 11001111000110110011101 (23 bits)
Octal 0o31706635
Hexadecimal 0x678D9D

Divisor Catalog (4)

1 11 616,951 6,786,461

Collatz Trajectory (134 steps to reach 1)

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

6,786,461 20,359,384 10,179,692 5,089,846 2,544,923 7,634,770 3,817,385 11,452,156 5,726,078 2,863,039 8,589,118 4,294,559 12,883,678 6,441,839 19,325,518 9,662,759 28,988,278 14,494,139 43,482,418 21,741,209 65,223,628 32,611,814 16,305,907 48,917,722 24,458,861 73,376,584 36,688,292 18,344,146 9,172,073 27,516,220 13,758,110 6,879,055 20,637,166 10,318,583 30,955,750 15,477,875 46,433,626 23,216,813 69,650,440 34,825,220 17,412,610 8,706,305 26,118,916 13,059,458 6,529,729 19,589,188 9,794,594 4,897,297 14,691,892 7,345,946 3,672,973 11,018,920 5,509,460 2,754,730 1,377,365 4,132,096 2,066,048 1,033,024 516,512 258,256

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