λ
Harmonic Matrix

1,414,137

3 × 317 × 1487
Deficient Odd Composite

1,414,137 has digital root 3. The neighboring primes are 1414129 and 1414181; its proper-divisor sum differs from the starting integer by -935,538.

Prime Factor Structure

Factorization String 3 × 317 × 1487
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,892,736
Proper Divisor Sum 478,599
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #1414129 ← → #1414181

Radix Representation

Decimal 1414137
Binary 101011001001111111001 (21 bits)
Octal 0o5311771
Hexadecimal 0x1593F9

Divisor Catalog (8)

1 3 317 951 1,487 4,461 471,379 1,414,137

Collatz Trajectory (111 steps to reach 1)

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

1,414,137 4,242,412 2,121,206 1,060,603 3,181,810 1,590,905 4,772,716 2,386,358 1,193,179 3,579,538 1,789,769 5,369,308 2,684,654 1,342,327 4,026,982 2,013,491 6,040,474 3,020,237 9,060,712 4,530,356 2,265,178 1,132,589 3,397,768 1,698,884 849,442 424,721 1,274,164 637,082 318,541 955,624 477,812 238,906 119,453 358,360 179,180 89,590 44,795 134,386 67,193 201,580 100,790 50,395 151,186 75,593 226,780 113,390 56,695 170,086 85,043 255,130 127,565 382,696 191,348 95,674 47,837 143,512 71,756 35,878 17,939 53,818

More profiles

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