λ
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Atlas › Integer Profiles › Node 4,495,360

4,495,360

211 × 5 × 439
Abundant Even Composite

4,495,360 factors as 2^11 × 5 × 439. Its 48 positive divisors give a proper-divisor sum of 6,315,440, so this integer is abundant. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 2^11 × 5 × 439
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 10,810,800
Proper Divisor Sum 6,315,440
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #4495357 ← → #4495397

Radix Representation

Decimal 4495360
Binary 10001001001100000000000 (23 bits)
Octal 0o21114000
Hexadecimal 0x449800

Divisor Catalog (48)

1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 439 512 640 878 1,024 1,280 1,756 2,048 2,195 2,560 3,512 4,390 5,120 7,024 8,780 10,240 14,048 17,560 28,096 35,120 56,192 70,240 112,384 140,480 224,768 280,960 449,536 561,920 899,072 1,123,840 2,247,680 4,495,360

Collatz Trajectory (149 steps to reach 1)

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

4,495,360 2,247,680 1,123,840 561,920 280,960 140,480 70,240 35,120 17,560 8,780 4,390 2,195 6,586 3,293 9,880 4,940 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137

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