λ
Harmonic Matrix

1,400,439

3 × 29 × 16097
Deficient Odd Composite

1,400,439 has digital root 3. The neighboring primes are 1400423 and 1400449; its proper-divisor sum differs from the starting integer by -869,118.

Prime Factor Structure

Factorization String 3 × 29 × 16097
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,931,760
Proper Divisor Sum 531,321
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #1400423 ← → #1400449

Radix Representation

Decimal 1400439
Binary 101010101111001110111 (21 bits)
Octal 0o5257167
Hexadecimal 0x155E77

Divisor Catalog (8)

1 3 29 87 16,097 48,291 466,813 1,400,439

Collatz Trajectory (93 steps to reach 1)

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

1,400,439 4,201,318 2,100,659 6,301,978 3,150,989 9,452,968 4,726,484 2,363,242 1,181,621 3,544,864 1,772,432 886,216 443,108 221,554 110,777 332,332 166,166 83,083 249,250 124,625 373,876 186,938 93,469 280,408 140,204 70,102 35,051 105,154 52,577 157,732 78,866 39,433 118,300 59,150 29,575 88,726 44,363 133,090 66,545 199,636 99,818 49,909 149,728 74,864 37,432 18,716 9,358 4,679 14,038 7,019 21,058 10,529 31,588 15,794 7,897 23,692 11,846 5,923 17,770 8,885

More profiles

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