λ
Harmonic Matrix

5,973,477

3 × 17 × 117127
Deficient Odd Composite

5,973,477 has digital root 6. The neighboring primes are 5973463 and 5973481; its proper-divisor sum differs from the starting integer by -3,513,738.

Prime Factor Structure

Factorization String 3 × 17 × 117127
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,433,216
Proper Divisor Sum 2,459,739
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #5973463 ← → #5973481

Radix Representation

Decimal 5973477
Binary 10110110010010111100101 (23 bits)
Octal 0o26622745
Hexadecimal 0x5B25E5

Divisor Catalog (8)

1 3 17 51 117,127 351,381 1,991,159 5,973,477

Collatz Trajectory (258 steps to reach 1)

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

5,973,477 17,920,432 8,960,216 4,480,108 2,240,054 1,120,027 3,360,082 1,680,041 5,040,124 2,520,062 1,260,031 3,780,094 1,890,047 5,670,142 2,835,071 8,505,214 4,252,607 12,757,822 6,378,911 19,136,734 9,568,367 28,705,102 14,352,551 43,057,654 21,528,827 64,586,482 32,293,241 96,879,724 48,439,862 24,219,931 72,659,794 36,329,897 108,989,692 54,494,846 27,247,423 81,742,270 40,871,135 122,613,406 61,306,703 183,920,110 91,960,055 275,880,166 137,940,083 413,820,250 206,910,125 620,730,376 310,365,188 155,182,594 77,591,297 232,773,892 116,386,946 58,193,473 174,580,420 87,290,210 43,645,105 130,935,316 65,467,658 32,733,829 98,201,488 49,100,744

More profiles

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