λ
Harmonic Matrix

5,646,559

67 × 71 × 1187
Deficient Odd Composite

5,646,559 has digital root 4. The neighboring primes are 5646551 and 5646577; its proper-divisor sum differs from the starting integer by -5,476,670.

Prime Factor Structure

Factorization String 67 × 71 × 1187
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,816,448
Proper Divisor Sum 169,889
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #5646551 ← → #5646577

Radix Representation

Decimal 5646559
Binary 10101100010100011011111 (23 bits)
Octal 0o25424337
Hexadecimal 0x5628DF

Divisor Catalog (8)

1 67 71 1,187 4,757 79,529 84,277 5,646,559

Collatz Trajectory (276 steps to reach 1)

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

5,646,559 16,939,678 8,469,839 25,409,518 12,704,759 38,114,278 19,057,139 57,171,418 28,585,709 85,757,128 42,878,564 21,439,282 10,719,641 32,158,924 16,079,462 8,039,731 24,119,194 12,059,597 36,178,792 18,089,396 9,044,698 4,522,349 13,567,048 6,783,524 3,391,762 1,695,881 5,087,644 2,543,822 1,271,911 3,815,734 1,907,867 5,723,602 2,861,801 8,585,404 4,292,702 2,146,351 6,439,054 3,219,527 9,658,582 4,829,291 14,487,874 7,243,937 21,731,812 10,865,906 5,432,953 16,298,860 8,149,430 4,074,715 12,224,146 6,112,073 18,336,220 9,168,110 4,584,055 13,752,166 6,876,083 20,628,250 10,314,125 30,942,376 15,471,188 7,735,594

More profiles

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