λ
Sequence Observatory

5,652,702

2 × 32 × 11 × 28549
Abundant Even Composite

Starting at 5,652,702, the Collatz iteration reaches 1 after 245 steps. The first transition is 2826351; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 11 × 28549
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 13,361,400
Proper Divisor Sum 7,708,698
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #5652701 ← → #5652719

Radix Representation

Decimal 5652702
Binary 10101100100000011011110 (23 bits)
Octal 0o25440336
Hexadecimal 0x5640DE

Divisor Catalog (24)

1 2 3 6 9 11 18 22 33 66 99 198 28,549 57,098 85,647 171,294 256,941 314,039 513,882 628,078 942,117 1,884,234 2,826,351 5,652,702

Collatz Trajectory (245 steps to reach 1)

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

5,652,702 2,826,351 8,479,054 4,239,527 12,718,582 6,359,291 19,077,874 9,538,937 28,616,812 14,308,406 7,154,203 21,462,610 10,731,305 32,193,916 16,096,958 8,048,479 24,145,438 12,072,719 36,218,158 18,109,079 54,327,238 27,163,619 81,490,858 40,745,429 122,236,288 61,118,144 30,559,072 15,279,536 7,639,768 3,819,884 1,909,942 954,971 2,864,914 1,432,457 4,297,372 2,148,686 1,074,343 3,223,030 1,611,515 4,834,546 2,417,273 7,251,820 3,625,910 1,812,955 5,438,866 2,719,433 8,158,300 4,079,150 2,039,575 6,118,726 3,059,363 9,178,090 4,589,045 13,767,136 6,883,568 3,441,784 1,720,892 860,446 430,223 1,290,670

More profiles

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