4,879,600

2⁴ × 5² × 11 × 1109

Starting at 4,879,600, the Collatz iteration reaches 1 after 162 steps. The first transition is 2439800; the starting value is even with 60 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 5^2 × 11 × 1109

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 12,800,520

Proper Divisor Sum 7,920,920

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #4879591 ← → #4879607

Radix Representation

Decimal	4879600
Binary	10010100111010011110000 (23 bits)
Octal	0o22472360
Hexadecimal	0x4A74F0

Divisor Catalog (60)

1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1,100 1,109 2,200 2,218 4,400 4,436 5,545 8,872 11,090 12,199 17,744 22,180 24,398 27,725 44,360 48,796 55,450 60,995 88,720 97,592 110,900 121,990 195,184 221,800 243,980 304,975 443,600 487,960 609,950 975,920 1,219,900 2,439,800 4,879,600

Collatz Trajectory (162 steps to reach 1)

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

4,879,600 2,439,800 1,219,900 609,950 304,975 914,926 457,463 1,372,390 686,195 2,058,586 1,029,293 3,087,880 1,543,940 771,970 385,985 1,157,956 578,978 289,489 868,468 434,234 217,117 651,352 325,676 162,838 81,419 244,258 122,129 366,388 183,194 91,597 274,792 137,396 68,698 34,349 103,048 51,524 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 13,760 6,880 3,440 1,720 860

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