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Atlas › Integer Profiles › Node 4,579,784

4,579,784

23 × 11 × 71 × 733
Abundant Even Composite

4,579,784 factors as 2^3 × 11 × 71 × 733. Its 32 positive divisors give a proper-divisor sum of 4,932,856, so this integer is abundant. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 2^3 × 11 × 71 × 733
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 9,512,640
Proper Divisor Sum 4,932,856
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #4579769 ← → #4579787

Radix Representation

Decimal 4579784
Binary 10001011110000111001000 (23 bits)
Octal 0o21360710
Hexadecimal 0x45E1C8

Divisor Catalog (32)

1 2 4 8 11 22 44 71 88 142 284 568 733 781 1,466 1,562 2,932 3,124 5,864 6,248 8,063 16,126 32,252 52,043 64,504 104,086 208,172 416,344 572,473 1,144,946 2,289,892 4,579,784

Collatz Trajectory (87 steps to reach 1)

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

4,579,784 2,289,892 1,144,946 572,473 1,717,420 858,710 429,355 1,288,066 644,033 1,932,100 966,050 483,025 1,449,076 724,538 362,269 1,086,808 543,404 271,702 135,851 407,554 203,777 611,332 305,666 152,833 458,500 229,250 114,625 343,876 171,938 85,969 257,908 128,954 64,477 193,432 96,716 48,358 24,179 72,538 36,269 108,808 54,404 27,202 13,601 40,804 20,402 10,201 30,604 15,302 7,651 22,954 11,477 34,432 17,216 8,608 4,304 2,152 1,076 538 269 808

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