4,113,136

2⁴ × 23 × 11177

4,113,136 factors as 2^4 × 23 × 11177. Its 20 positive divisors give a proper-divisor sum of 4,203,296, so this integer is abundant. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 2^4 × 23 × 11177

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 8,316,432

Proper Divisor Sum 4,203,296

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #4113127 ← → #4113143

Radix Representation

Decimal	4113136
Binary	1111101100001011110000 (22 bits)
Octal	0o17541360
Hexadecimal	0x3EC2F0

Divisor Catalog (20)

Collatz Trajectory (92 steps to reach 1)

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

4,113,136 2,056,568 1,028,284 514,142 257,071 771,214 385,607 1,156,822 578,411 1,735,234 867,617 2,602,852 1,301,426 650,713 1,952,140 976,070 488,035 1,464,106 732,053 2,196,160 1,098,080 549,040 274,520 137,260 68,630 34,315 102,946 51,473 154,420 77,210 38,605 115,816 57,908 28,954 14,477 43,432 21,716 10,858 5,429 16,288 8,144 4,072 2,036 1,018 509 1,528 764 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372

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