λ
Prime Ledger

9,377,774

2 × 7 × 61 × 79 × 139
Deficient Even Composite

9,377,774 has the prime decomposition 2 × 7 × 61 × 79 × 139. Its 5 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 61 × 79 × 139
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,665,600
Proper Divisor Sum 7,287,826
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #9377747 ← → #9377821

Radix Representation

Decimal 9377774
Binary 100011110001011111101110 (24 bits)
Octal 0o43613756
Hexadecimal 0x8F17EE

Divisor Catalog (32)

1 2 7 14 61 79 122 139 158 278 427 553 854 973 1,106 1,946 4,819 8,479 9,638 10,981 16,958 21,962 33,733 59,353 67,466 76,867 118,706 153,734 669,841 1,339,682 4,688,887 9,377,774

Collatz Trajectory (75 steps to reach 1)

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

9,377,774 4,688,887 14,066,662 7,033,331 21,099,994 10,549,997 31,649,992 15,824,996 7,912,498 3,956,249 11,868,748 5,934,374 2,967,187 8,901,562 4,450,781 13,352,344 6,676,172 3,338,086 1,669,043 5,007,130 2,503,565 7,510,696 3,755,348 1,877,674 938,837 2,816,512 1,408,256 704,128 352,064 176,032 88,016 44,008 22,004 11,002 5,501 16,504 8,252 4,126 2,063 6,190 3,095 9,286 4,643 13,930 6,965 20,896 10,448 5,224 2,612 1,306 653 1,960 980 490 245 736 368 184 92 46

More profiles

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