λ
Harmonic Matrix

2,755,462

2 × 17 × 81043
Deficient Even Composite

2,755,462 has digital root 4. The neighboring primes are 2755447 and 2755463; its proper-divisor sum differs from the starting integer by -1,134,548.

Prime Factor Structure

Factorization String 2 × 17 × 81043
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,376,376
Proper Divisor Sum 1,620,914
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #2755447 ← → #2755463

Radix Representation

Decimal 2755462
Binary 1010100000101110000110 (22 bits)
Octal 0o12405606
Hexadecimal 0x2A0B86

Divisor Catalog (8)

1 2 17 34 81,043 162,086 1,377,731 2,755,462

Collatz Trajectory (200 steps to reach 1)

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

2,755,462 1,377,731 4,133,194 2,066,597 6,199,792 3,099,896 1,549,948 774,974 387,487 1,162,462 581,231 1,743,694 871,847 2,615,542 1,307,771 3,923,314 1,961,657 5,884,972 2,942,486 1,471,243 4,413,730 2,206,865 6,620,596 3,310,298 1,655,149 4,965,448 2,482,724 1,241,362 620,681 1,862,044 931,022 465,511 1,396,534 698,267 2,094,802 1,047,401 3,142,204 1,571,102 785,551 2,356,654 1,178,327 3,534,982 1,767,491 5,302,474 2,651,237 7,953,712 3,976,856 1,988,428 994,214 497,107 1,491,322 745,661 2,236,984 1,118,492 559,246 279,623 838,870 419,435 1,258,306 629,153

More profiles

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