6,414,832

2⁴ × 400927

Starting at 6,414,832, the Collatz iteration reaches 1 after 253 steps. The first transition is 3207416; the starting value is even with 10 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 400927

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 12,428,768

Proper Divisor Sum 6,013,936

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #6414827 ← → #6414839

Radix Representation

Decimal	6414832
Binary	11000011110000111110000 (23 bits)
Octal	0o30360760
Hexadecimal	0x61E1F0

Divisor Catalog (10)

1 2 4 8 16 400,927 801,854 1,603,708 3,207,416 6,414,832

Collatz Trajectory (253 steps to reach 1)

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

6,414,832 3,207,416 1,603,708 801,854 400,927 1,202,782 601,391 1,804,174 902,087 2,706,262 1,353,131 4,059,394 2,029,697 6,089,092 3,044,546 1,522,273 4,566,820 2,283,410 1,141,705 3,425,116 1,712,558 856,279 2,568,838 1,284,419 3,853,258 1,926,629 5,779,888 2,889,944 1,444,972 722,486 361,243 1,083,730 541,865 1,625,596 812,798 406,399 1,219,198 609,599 1,828,798 914,399 2,743,198 1,371,599 4,114,798 2,057,399 6,172,198 3,086,099 9,258,298 4,629,149 13,887,448 6,943,724 3,471,862 1,735,931 5,207,794 2,603,897 7,811,692 3,905,846 1,952,923 5,858,770 2,929,385 8,788,156

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