5,461,029

3² × 7 × 17 × 5099

Starting at 5,461,029, the Collatz iteration reaches 1 after 263 steps. The first transition is 16383088; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 7 × 17 × 5099

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 9,547,200

Proper Divisor Sum 4,086,171

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #5461021 ← → #5461031

Radix Representation

Decimal	5461029
Binary	10100110101010000100101 (23 bits)
Octal	0o24652045
Hexadecimal	0x535425

Divisor Catalog (24)

1 3 7 9 17 21 51 63 119 153 357 1,071 5,099 15,297 35,693 45,891 86,683 107,079 260,049 321,237 606,781 780,147 1,820,343 5,461,029

Collatz Trajectory (263 steps to reach 1)

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

5,461,029 16,383,088 8,191,544 4,095,772 2,047,886 1,023,943 3,071,830 1,535,915 4,607,746 2,303,873 6,911,620 3,455,810 1,727,905 5,183,716 2,591,858 1,295,929 3,887,788 1,943,894 971,947 2,915,842 1,457,921 4,373,764 2,186,882 1,093,441 3,280,324 1,640,162 820,081 2,460,244 1,230,122 615,061 1,845,184 922,592 461,296 230,648 115,324 57,662 28,831 86,494 43,247 129,742 64,871 194,614 97,307 291,922 145,961 437,884 218,942 109,471 328,414 164,207 492,622 246,311 738,934 369,467 1,108,402 554,201 1,662,604 831,302 415,651 1,246,954

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