λ
Harmonic Matrix

5,756,488

23 × 73 × 9857
Deficient Even Composite

5,756,488 has digital root 7. The neighboring primes are 5756477 and 5756501; its proper-divisor sum differs from the starting integer by -570,596.

Prime Factor Structure

Factorization String 2^3 × 73 × 9857
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,942,380
Proper Divisor Sum 5,185,892
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #5756477 ← → #5756501

Radix Representation

Decimal 5756488
Binary 10101111101011001001000 (23 bits)
Octal 0o25753110
Hexadecimal 0x57D648

Divisor Catalog (16)

1 2 4 8 73 146 292 584 9,857 19,714 39,428 78,856 719,561 1,439,122 2,878,244 5,756,488

Collatz Trajectory (69 steps to reach 1)

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

5,756,488 2,878,244 1,439,122 719,561 2,158,684 1,079,342 539,671 1,619,014 809,507 2,428,522 1,214,261 3,642,784 1,821,392 910,696 455,348 227,674 113,837 341,512 170,756 85,378 42,689 128,068 64,034 32,017 96,052 48,026 24,013 72,040 36,020 18,010 9,005 27,016 13,508 6,754 3,377 10,132 5,066 2,533 7,600 3,800 1,900 950 475 1,426 713 2,140 1,070 535 1,606 803 2,410 1,205 3,616 1,808 904 452 226 113 340 170

More profiles

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