λ
Harmonic Matrix

4,277,425

52 × 23 × 43 × 173
Deficient Odd Composite

4,277,425 has digital root 4. The neighboring primes are 4277419 and 4277437; its proper-divisor sum differs from the starting integer by -2,858,786.

Prime Factor Structure

Factorization String 5^2 × 23 × 43 × 173
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,696,064
Proper Divisor Sum 1,418,639
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #4277419 ← → #4277437

Radix Representation

Decimal 4277425
Binary 10000010100010010110001 (23 bits)
Octal 0o20242261
Hexadecimal 0x4144B1

Divisor Catalog (24)

1 5 23 25 43 115 173 215 575 865 989 1,075 3,979 4,325 4,945 7,439 19,895 24,725 37,195 99,475 171,097 185,975 855,485 4,277,425

Collatz Trajectory (242 steps to reach 1)

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

4,277,425 12,832,276 6,416,138 3,208,069 9,624,208 4,812,104 2,406,052 1,203,026 601,513 1,804,540 902,270 451,135 1,353,406 676,703 2,030,110 1,015,055 3,045,166 1,522,583 4,567,750 2,283,875 6,851,626 3,425,813 10,277,440 5,138,720 2,569,360 1,284,680 642,340 321,170 160,585 481,756 240,878 120,439 361,318 180,659 541,978 270,989 812,968 406,484 203,242 101,621 304,864 152,432 76,216 38,108 19,054 9,527 28,582 14,291 42,874 21,437 64,312 32,156 16,078 8,039 24,118 12,059 36,178 18,089 54,268 27,134

More profiles

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