λ
Prime Ledger

2,957,379

3 × 977 × 1009
Deficient Odd Composite

2,957,379 has the prime decomposition 3 × 977 × 1009. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 977 × 1009
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,951,120
Proper Divisor Sum 993,741
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #2957377 ← → #2957387

Radix Representation

Decimal 2957379
Binary 1011010010000001000011 (22 bits)
Octal 0o13220103
Hexadecimal 0x2D2043

Divisor Catalog (8)

1 3 977 1,009 2,931 3,027 985,793 2,957,379

Collatz Trajectory (213 steps to reach 1)

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

2,957,379 8,872,138 4,436,069 13,308,208 6,654,104 3,327,052 1,663,526 831,763 2,495,290 1,247,645 3,742,936 1,871,468 935,734 467,867 1,403,602 701,801 2,105,404 1,052,702 526,351 1,579,054 789,527 2,368,582 1,184,291 3,552,874 1,776,437 5,329,312 2,664,656 1,332,328 666,164 333,082 166,541 499,624 249,812 124,906 62,453 187,360 93,680 46,840 23,420 11,710 5,855 17,566 8,783 26,350 13,175 39,526 19,763 59,290 29,645 88,936 44,468 22,234 11,117 33,352 16,676 8,338 4,169 12,508 6,254 3,127

More profiles

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