λ
Harmonic Matrix

5,977,498

2 × 37 × 80777
Deficient Even Composite

5,977,498 has digital root 4. The neighboring primes are 5977487 and 5977501; its proper-divisor sum differs from the starting integer by -2,746,304.

Prime Factor Structure

Factorization String 2 × 37 × 80777
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,208,692
Proper Divisor Sum 3,231,194
Digit Sum / Digital Root 49 (Root: 4)
Adjacent Primes #5977487 ← → #5977501

Radix Representation

Decimal 5977498
Binary 10110110011010110011010 (23 bits)
Octal 0o26632632
Hexadecimal 0x5B359A

Divisor Catalog (8)

1 2 37 74 80,777 161,554 2,988,749 5,977,498

Collatz Trajectory (90 steps to reach 1)

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

5,977,498 2,988,749 8,966,248 4,483,124 2,241,562 1,120,781 3,362,344 1,681,172 840,586 420,293 1,260,880 630,440 315,220 157,610 78,805 236,416 118,208 59,104 29,552 14,776 7,388 3,694 1,847 5,542 2,771 8,314 4,157 12,472 6,236 3,118 1,559 4,678 2,339 7,018 3,509 10,528 5,264 2,632 1,316 658 329 988 494 247 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178

More profiles

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