λ
Harmonic Matrix

4,277,801

11 × 388891
Deficient Odd Composite

4,277,801 has digital root 2. The neighboring primes are 4277759 and 4277813; its proper-divisor sum differs from the starting integer by -3,888,898.

Prime Factor Structure

Factorization String 11 × 388891
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,666,704
Proper Divisor Sum 388,903
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #4277759 ← → #4277813

Radix Representation

Decimal 4277801
Binary 10000010100011000101001 (23 bits)
Octal 0o20243051
Hexadecimal 0x414629

Divisor Catalog (4)

1 11 388,891 4,277,801

Collatz Trajectory (149 steps to reach 1)

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

4,277,801 12,833,404 6,416,702 3,208,351 9,625,054 4,812,527 14,437,582 7,218,791 21,656,374 10,828,187 32,484,562 16,242,281 48,726,844 24,363,422 12,181,711 36,545,134 18,272,567 54,817,702 27,408,851 82,226,554 41,113,277 123,339,832 61,669,916 30,834,958 15,417,479 46,252,438 23,126,219 69,378,658 34,689,329 104,067,988 52,033,994 26,016,997 78,050,992 39,025,496 19,512,748 9,756,374 4,878,187 14,634,562 7,317,281 21,951,844 10,975,922 5,487,961 16,463,884 8,231,942 4,115,971 12,347,914 6,173,957 18,521,872 9,260,936 4,630,468 2,315,234 1,157,617 3,472,852 1,736,426 868,213 2,604,640 1,302,320 651,160 325,580 162,790

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