4,134,823

7 × 11 × 53699

Starting at 4,134,823, the Collatz iteration reaches 1 after 198 steps. The first transition is 12404470; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 11 × 53699

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 5,155,200

Proper Divisor Sum 1,020,377

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #4134817 ← → #4134829

Radix Representation

Decimal	4134823
Binary	1111110001011110100111 (22 bits)
Octal	0o17613647
Hexadecimal	0x3F17A7

Divisor Catalog (8)

1 7 11 77 53,699 375,893 590,689 4,134,823

Collatz Trajectory (198 steps to reach 1)

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

4,134,823 12,404,470 6,202,235 18,606,706 9,303,353 27,910,060 13,955,030 6,977,515 20,932,546 10,466,273 31,398,820 15,699,410 7,849,705 23,549,116 11,774,558 5,887,279 17,661,838 8,830,919 26,492,758 13,246,379 39,739,138 19,869,569 59,608,708 29,804,354 14,902,177 44,706,532 22,353,266 11,176,633 33,529,900 16,764,950 8,382,475 25,147,426 12,573,713 37,721,140 18,860,570 9,430,285 28,290,856 14,145,428 7,072,714 3,536,357 10,609,072 5,304,536 2,652,268 1,326,134 663,067 1,989,202 994,601 2,983,804 1,491,902 745,951 2,237,854 1,118,927 3,356,782 1,678,391 5,035,174 2,517,587 7,552,762 3,776,381 11,329,144 5,664,572

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