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Atlas › Integer Profiles › Node 4,336,784

4,336,784

24 × 47 × 73 × 79
Abundant Even Composite

4,336,784 factors as 2^4 × 47 × 73 × 79. Its 40 positive divisors give a proper-divisor sum of 4,472,176, so this integer is abundant. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 2^4 × 47 × 73 × 79
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 8,808,960
Proper Divisor Sum 4,472,176
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #4336781 ← → #4336793

Radix Representation

Decimal 4336784
Binary 10000100010110010010000 (23 bits)
Octal 0o20426220
Hexadecimal 0x422C90

Divisor Catalog (40)

1 2 4 8 16 47 73 79 94 146 158 188 292 316 376 584 632 752 1,168 1,264 3,431 3,713 5,767 6,862 7,426 11,534 13,724 14,852 23,068 27,448 29,704 46,136 54,896 59,408 92,272 271,049 542,098 1,084,196 2,168,392 4,336,784

Collatz Trajectory (167 steps to reach 1)

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

4,336,784 2,168,392 1,084,196 542,098 271,049 813,148 406,574 203,287 609,862 304,931 914,794 457,397 1,372,192 686,096 343,048 171,524 85,762 42,881 128,644 64,322 32,161 96,484 48,242 24,121 72,364 36,182 18,091 54,274 27,137 81,412 40,706 20,353 61,060 30,530 15,265 45,796 22,898 11,449 34,348 17,174 8,587 25,762 12,881 38,644 19,322 9,661 28,984 14,492 7,246 3,623 10,870 5,435 16,306 8,153 24,460 12,230 6,115 18,346 9,173 27,520

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