4,287,101

7 × 13 × 47111

4,287,101 factors as 7 × 13 × 47111. Its 8 positive divisors give a proper-divisor sum of 989,443, so this integer is deficient. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 7 × 13 × 47111

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 5,276,544

Proper Divisor Sum 989,443

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #4287097 ← → #4287121

Radix Representation

Decimal	4287101
Binary	10000010110101001111101 (23 bits)
Octal	0o20265175
Hexadecimal	0x416A7D

Divisor Catalog (8)

1 7 13 91 47,111 329,777 612,443 4,287,101

Collatz Trajectory (167 steps to reach 1)

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

4,287,101 12,861,304 6,430,652 3,215,326 1,607,663 4,822,990 2,411,495 7,234,486 3,617,243 10,851,730 5,425,865 16,277,596 8,138,798 4,069,399 12,208,198 6,104,099 18,312,298 9,156,149 27,468,448 13,734,224 6,867,112 3,433,556 1,716,778 858,389 2,575,168 1,287,584 643,792 321,896 160,948 80,474 40,237 120,712 60,356 30,178 15,089 45,268 22,634 11,317 33,952 16,976 8,488 4,244 2,122 1,061 3,184 1,592 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760

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