λ
Prime Ledger

277,861

139 × 1999
Deficient Odd Composite

277,861 has the prime decomposition 139 × 1999. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 139 × 1999
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 280,000
Proper Divisor Sum 2,139
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #277859 ← → #277883

Radix Representation

Decimal 277861
Binary 1000011110101100101 (19 bits)
Octal 0o1036545
Hexadecimal 0x43D65

Divisor Catalog (4)

1 139 1,999 277,861

Collatz Trajectory (83 steps to reach 1)

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

277,861 833,584 416,792 208,396 104,198 52,099 156,298 78,149 234,448 117,224 58,612 29,306 14,653 43,960 21,980 10,990 5,495 16,486 8,243 24,730 12,365 37,096 18,548 9,274 4,637 13,912 6,956 3,478 1,739 5,218 2,609 7,828 3,914 1,957 5,872 2,936 1,468 734 367 1,102 551 1,654 827 2,482 1,241 3,724 1,862 931 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592 296

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