4,492,752

2⁴ × 3 × 11 × 67 × 127

Starting at 4,492,752, the Collatz iteration reaches 1 after 87 steps. The first transition is 2246376; the starting value is even with 80 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 11 × 67 × 127

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 12,951,552

Proper Divisor Sum 8,458,800

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #4492727 ← → #4492753

Radix Representation

Decimal	4492752
Binary	10001001000110111010000 (23 bits)
Octal	0o21106720
Hexadecimal	0x448DD0

Divisor Catalog (60 of 80)

1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 67 88 127 132 134 176 201 254 264 268 381 402 508 528 536 737 762 804 1,016 1,072 1,397 1,474 1,524 1,608 2,032 2,211 2,794 2,948 3,048 3,216 4,191 4,422 5,588 5,896 6,096 8,382 8,509 8,844 11,176 11,792 16,764 17,018 17,688 22,352 25,527

Collatz Trajectory (87 steps to reach 1)

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

4,492,752 2,246,376 1,123,188 561,594 280,797 842,392 421,196 210,598 105,299 315,898 157,949 473,848 236,924 118,462 59,231 177,694 88,847 266,542 133,271 399,814 199,907 599,722 299,861 899,584 449,792 224,896 112,448 56,224 28,112 14,056 7,028 3,514 1,757 5,272 2,636 1,318 659 1,978 989 2,968 1,484 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268 134

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