λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,421,632

4,421,632

211 × 17 × 127
Abundant Even Composite

4,421,632 factors as 2^11 × 17 × 127. Its 48 positive divisors give a proper-divisor sum of 5,013,248, so this integer is abundant. The Collatz stopping time is 136 steps.

Prime Factor Structure

Factorization String 2^11 × 17 × 127
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 9,434,880
Proper Divisor Sum 5,013,248
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #4421621 ← → #4421633

Radix Representation

Decimal 4421632
Binary 10000110111100000000000 (23 bits)
Octal 0o20674000
Hexadecimal 0x437800

Divisor Catalog (48)

1 2 4 8 16 17 32 34 64 68 127 128 136 254 256 272 508 512 544 1,016 1,024 1,088 2,032 2,048 2,159 2,176 4,064 4,318 4,352 8,128 8,636 8,704 16,256 17,272 17,408 32,512 34,544 34,816 65,024 69,088 130,048 138,176 260,096 276,352 552,704 1,105,408 2,210,816 4,421,632

Collatz Trajectory (136 steps to reach 1)

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

4,421,632 2,210,816 1,105,408 552,704 276,352 138,176 69,088 34,544 17,272 8,636 4,318 2,159 6,478 3,239 9,718 4,859 14,578 7,289 21,868 10,934 5,467 16,402 8,201 24,604 12,302 6,151 18,454 9,227 27,682 13,841 41,524 20,762 10,381 31,144 15,572 7,786 3,893 11,680 5,840 2,920 1,460 730 365 1,096 548 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #4,421,631 Browse Full Index Next Integer #4,421,633 →