4,109,735

5 × 7 × 29 × 4049

4,109,735 factors as 5 × 7 × 29 × 4049. Its 16 positive divisors give a proper-divisor sum of 1,722,265, so this integer is deficient. The Collatz stopping time is 216 steps.

Prime Factor Structure

Factorization String 5 × 7 × 29 × 4049

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,832,000

Proper Divisor Sum 1,722,265

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #4109723 ← → #4109737

Radix Representation

Decimal	4109735
Binary	1111101011010110100111 (22 bits)
Octal	0o17532647
Hexadecimal	0x3EB5A7

Divisor Catalog (16)

1 5 7 29 35 145 203 1,015 4,049 20,245 28,343 117,421 141,715 587,105 821,947 4,109,735

Collatz Trajectory (216 steps to reach 1)

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

4,109,735 12,329,206 6,164,603 18,493,810 9,246,905 27,740,716 13,870,358 6,935,179 20,805,538 10,402,769 31,208,308 15,604,154 7,802,077 23,406,232 11,703,116 5,851,558 2,925,779 8,777,338 4,388,669 13,166,008 6,583,004 3,291,502 1,645,751 4,937,254 2,468,627 7,405,882 3,702,941 11,108,824 5,554,412 2,777,206 1,388,603 4,165,810 2,082,905 6,248,716 3,124,358 1,562,179 4,686,538 2,343,269 7,029,808 3,514,904 1,757,452 878,726 439,363 1,318,090 659,045 1,977,136 988,568 494,284 247,142 123,571 370,714 185,357 556,072 278,036 139,018 69,509 208,528 104,264 52,132 26,066

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