4,402,057

11 × 400187

Starting at 4,402,057, the Collatz iteration reaches 1 after 211 steps. The first transition is 13206172; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 11 × 400187

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 4,802,256

Proper Divisor Sum 400,199

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #4402043 ← → #4402063

Radix Representation

Decimal	4402057
Binary	10000110010101110001001 (23 bits)
Octal	0o20625611
Hexadecimal	0x432B89

Divisor Catalog (4)

1 11 400,187 4,402,057

Collatz Trajectory (211 steps to reach 1)

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

4,402,057 13,206,172 6,603,086 3,301,543 9,904,630 4,952,315 14,856,946 7,428,473 22,285,420 11,142,710 5,571,355 16,714,066 8,357,033 25,071,100 12,535,550 6,267,775 18,803,326 9,401,663 28,204,990 14,102,495 42,307,486 21,153,743 63,461,230 31,730,615 95,191,846 47,595,923 142,787,770 71,393,885 214,181,656 107,090,828 53,545,414 26,772,707 80,318,122 40,159,061 120,477,184 60,238,592 30,119,296 15,059,648 7,529,824 3,764,912 1,882,456 941,228 470,614 235,307 705,922 352,961 1,058,884 529,442 264,721 794,164 397,082 198,541 595,624 297,812 148,906 74,453 223,360 111,680 55,840 27,920

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