λ
Harmonic Matrix

277,441

47 × 5903
Deficient Odd Composite

277,441 has digital root 7. The neighboring primes are 277429 and 277483; its proper-divisor sum differs from the starting integer by -271,490.

Prime Factor Structure

Factorization String 47 × 5903
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 283,392
Proper Divisor Sum 5,951
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #277429 ← → #277483

Radix Representation

Decimal 277441
Binary 1000011101111000001 (19 bits)
Octal 0o1035701
Hexadecimal 0x43BC1

Divisor Catalog (4)

1 47 5,903 277,441

Collatz Trajectory (282 steps to reach 1)

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

277,441 832,324 416,162 208,081 624,244 312,122 156,061 468,184 234,092 117,046 58,523 175,570 87,785 263,356 131,678 65,839 197,518 98,759 296,278 148,139 444,418 222,209 666,628 333,314 166,657 499,972 249,986 124,993 374,980 187,490 93,745 281,236 140,618 70,309 210,928 105,464 52,732 26,366 13,183 39,550 19,775 59,326 29,663 88,990 44,495 133,486 66,743 200,230 100,115 300,346 150,173 450,520 225,260 112,630 56,315 168,946 84,473 253,420 126,710 63,355

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