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Atlas › Integer Profiles › Node 4,494,048

4,494,048

25 × 3 × 132 × 277
Abundant Even Composite

4,494,048 factors as 2^5 × 3 × 13^2 × 277. Its 72 positive divisors give a proper-divisor sum of 8,326,200, so this integer is abundant. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 13^2 × 277
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 12,820,248
Proper Divisor Sum 8,326,200
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #4494019 ← → #4494067

Radix Representation

Decimal 4494048
Binary 10001001001001011100000 (23 bits)
Octal 0o21111340
Hexadecimal 0x4492E0

Divisor Catalog (60 of 72)

1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 169 208 277 312 338 416 507 554 624 676 831 1,014 1,108 1,248 1,352 1,662 2,028 2,216 2,704 3,324 3,601 4,056 4,432 5,408 6,648 7,202 8,112 8,864 10,803 13,296 14,404 16,224 21,606 26,592 28,808 43,212 46,813 57,616 86,424 93,626 115,232

Collatz Trajectory (149 steps to reach 1)

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

4,494,048 2,247,024 1,123,512 561,756 280,878 140,439 421,318 210,659 631,978 315,989 947,968 473,984 236,992 118,496 59,248 29,624 14,812 7,406 3,703 11,110 5,555 16,666 8,333 25,000 12,500 6,250 3,125 9,376 4,688 2,344 1,172 586 293 880 440 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137

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