4,812,472

2³ × 7 × 19 × 4523

4,812,472 factors as 2^3 × 7 × 19 × 4523. Its 32 positive divisors give a proper-divisor sum of 6,045,128, so this integer is abundant. The Collatz stopping time is 312 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 19 × 4523

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 10,857,600

Proper Divisor Sum 6,045,128

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #4812433 ← → #4812481

Radix Representation

Decimal	4812472
Binary	10010010110111010111000 (23 bits)
Octal	0o22267270
Hexadecimal	0x496EB8

Divisor Catalog (32)

1 2 4 7 8 14 19 28 38 56 76 133 152 266 532 1,064 4,523 9,046 18,092 31,661 36,184 63,322 85,937 126,644 171,874 253,288 343,748 601,559 687,496 1,203,118 2,406,236 4,812,472

Collatz Trajectory (312 steps to reach 1)

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

4,812,472 2,406,236 1,203,118 601,559 1,804,678 902,339 2,707,018 1,353,509 4,060,528 2,030,264 1,015,132 507,566 253,783 761,350 380,675 1,142,026 571,013 1,713,040 856,520 428,260 214,130 107,065 321,196 160,598 80,299 240,898 120,449 361,348 180,674 90,337 271,012 135,506 67,753 203,260 101,630 50,815 152,446 76,223 228,670 114,335 343,006 171,503 514,510 257,255 771,766 385,883 1,157,650 578,825 1,736,476 868,238 434,119 1,302,358 651,179 1,953,538 976,769 2,930,308 1,465,154 732,577 2,197,732 1,098,866

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