λ
Sequence Observatory

5,668,456

23 × 29 × 53 × 461
Deficient Even Composite

Starting at 5,668,456, the Collatz iteration reaches 1 after 245 steps. The first transition is 2834228; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 29 × 53 × 461
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 11,226,600
Proper Divisor Sum 5,558,144
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #5668451 ← → #5668469

Radix Representation

Decimal 5668456
Binary 10101100111111001101000 (23 bits)
Octal 0o25477150
Hexadecimal 0x567E68

Divisor Catalog (32)

1 2 4 8 29 53 58 106 116 212 232 424 461 922 1,537 1,844 3,074 3,688 6,148 12,296 13,369 24,433 26,738 48,866 53,476 97,732 106,952 195,464 708,557 1,417,114 2,834,228 5,668,456

Collatz Trajectory (245 steps to reach 1)

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

5,668,456 2,834,228 1,417,114 708,557 2,125,672 1,062,836 531,418 265,709 797,128 398,564 199,282 99,641 298,924 149,462 74,731 224,194 112,097 336,292 168,146 84,073 252,220 126,110 63,055 189,166 94,583 283,750 141,875 425,626 212,813 638,440 319,220 159,610 79,805 239,416 119,708 59,854 29,927 89,782 44,891 134,674 67,337 202,012 101,006 50,503 151,510 75,755 227,266 113,633 340,900 170,450 85,225 255,676 127,838 63,919 191,758 95,879 287,638 143,819 431,458 215,729

More profiles

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