λ
Sequence Observatory

5,721,924

22 × 3 × 13 × 43 × 853
Abundant Even Composite

Starting at 5,721,924, the Collatz iteration reaches 1 after 126 steps. The first transition is 2860962; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 13 × 43 × 853
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 14,729,792
Proper Divisor Sum 9,007,868
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #5721913 ← → #5721929

Radix Representation

Decimal 5721924
Binary 10101110100111101000100 (23 bits)
Octal 0o25647504
Hexadecimal 0x574F44

Divisor Catalog (48)

1 2 3 4 6 12 13 26 39 43 52 78 86 129 156 172 258 516 559 853 1,118 1,677 1,706 2,236 2,559 3,354 3,412 5,118 6,708 10,236 11,089 22,178 33,267 36,679 44,356 66,534 73,358 110,037 133,068 146,716 220,074 440,148 476,827 953,654 1,430,481 1,907,308 2,860,962 5,721,924

Collatz Trajectory (126 steps to reach 1)

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

5,721,924 2,860,962 1,430,481 4,291,444 2,145,722 1,072,861 3,218,584 1,609,292 804,646 402,323 1,206,970 603,485 1,810,456 905,228 452,614 226,307 678,922 339,461 1,018,384 509,192 254,596 127,298 63,649 190,948 95,474 47,737 143,212 71,606 35,803 107,410 53,705 161,116 80,558 40,279 120,838 60,419 181,258 90,629 271,888 135,944 67,972 33,986 16,993 50,980 25,490 12,745 38,236 19,118 9,559 28,678 14,339 43,018 21,509 64,528 32,264 16,132 8,066 4,033 12,100 6,050

More profiles

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