λ
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4,492,760

23 × 5 × 17 × 6607
Abundant Even Composite

4,492,760 factors as 2^3 × 5 × 17 × 6607. Its 32 positive divisors give a proper-divisor sum of 6,212,200, so this integer is abundant. The Collatz stopping time is 224 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 17 × 6607
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,704,960
Proper Divisor Sum 6,212,200
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #4492753 ← → #4492793

Radix Representation

Decimal 4492760
Binary 10001001000110111011000 (23 bits)
Octal 0o21106730
Hexadecimal 0x448DD8

Divisor Catalog (32)

1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 6,607 13,214 26,428 33,035 52,856 66,070 112,319 132,140 224,638 264,280 449,276 561,595 898,552 1,123,190 2,246,380 4,492,760

Collatz Trajectory (224 steps to reach 1)

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

4,492,760 2,246,380 1,123,190 561,595 1,684,786 842,393 2,527,180 1,263,590 631,795 1,895,386 947,693 2,843,080 1,421,540 710,770 355,385 1,066,156 533,078 266,539 799,618 399,809 1,199,428 599,714 299,857 899,572 449,786 224,893 674,680 337,340 168,670 84,335 253,006 126,503 379,510 189,755 569,266 284,633 853,900 426,950 213,475 640,426 320,213 960,640 480,320 240,160 120,080 60,040 30,020 15,010 7,505 22,516 11,258 5,629 16,888 8,444 4,222 2,111 6,334 3,167 9,502 4,751

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