λ
Harmonic Matrix

5,521,436

22 × 37 × 37307
Deficient Even Composite

5,521,436 has digital root 8. The neighboring primes are 5521427 and 5521463; its proper-divisor sum differs from the starting integer by -1,118,944.

Prime Factor Structure

Factorization String 2^2 × 37 × 37307
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 9,923,928
Proper Divisor Sum 4,402,492
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #5521427 ← → #5521463

Radix Representation

Decimal 5521436
Binary 10101000100000000011100 (23 bits)
Octal 0o25040034
Hexadecimal 0x54401C

Divisor Catalog (12)

1 2 4 37 74 148 37,307 74,614 149,228 1,380,359 2,760,718 5,521,436

Collatz Trajectory (201 steps to reach 1)

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

5,521,436 2,760,718 1,380,359 4,141,078 2,070,539 6,211,618 3,105,809 9,317,428 4,658,714 2,329,357 6,988,072 3,494,036 1,747,018 873,509 2,620,528 1,310,264 655,132 327,566 163,783 491,350 245,675 737,026 368,513 1,105,540 552,770 276,385 829,156 414,578 207,289 621,868 310,934 155,467 466,402 233,201 699,604 349,802 174,901 524,704 262,352 131,176 65,588 32,794 16,397 49,192 24,596 12,298 6,149 18,448 9,224 4,612 2,306 1,153 3,460 1,730 865 2,596 1,298 649 1,948 974

More profiles

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