3,808,570

2 × 5 × 23 × 29 × 571

Starting at 3,808,570, the Collatz iteration reaches 1 after 172 steps. The first transition is 1904285; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 23 × 29 × 571

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 7,413,120

Proper Divisor Sum 3,604,550

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #3808559 ← → #3808579

Radix Representation

Decimal	3808570
Binary	1110100001110100111010 (22 bits)
Octal	0o16416472
Hexadecimal	0x3A1D3A

Divisor Catalog (32)

1 2 5 10 23 29 46 58 115 145 230 290 571 667 1,142 1,334 2,855 3,335 5,710 6,670 13,133 16,559 26,266 33,118 65,665 82,795 131,330 165,590 380,857 761,714 1,904,285 3,808,570

Collatz Trajectory (172 steps to reach 1)

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

3,808,570 1,904,285 5,712,856 2,856,428 1,428,214 714,107 2,142,322 1,071,161 3,213,484 1,606,742 803,371 2,410,114 1,205,057 3,615,172 1,807,586 903,793 2,711,380 1,355,690 677,845 2,033,536 1,016,768 508,384 254,192 127,096 63,548 31,774 15,887 47,662 23,831 71,494 35,747 107,242 53,621 160,864 80,432 40,216 20,108 10,054 5,027 15,082 7,541 22,624 11,312 5,656 2,828 1,414 707 2,122 1,061 3,184 1,592 796 398 199 598 299 898 449 1,348 674

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