5,657,212

2² × 11 × 19 × 67 × 101

Starting at 5,657,212, the Collatz iteration reaches 1 after 113 steps. The first transition is 2828606; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 11 × 19 × 67 × 101

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 11,652,480

Proper Divisor Sum 5,995,268

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #5657207 ← → #5657251

Radix Representation

Decimal	5657212
Binary	10101100101001001111100 (23 bits)
Octal	0o25451174
Hexadecimal	0x56527C

Divisor Catalog (48)

1 2 4 11 19 22 38 44 67 76 101 134 202 209 268 404 418 737 836 1,111 1,273 1,474 1,919 2,222 2,546 2,948 3,838 4,444 5,092 6,767 7,676 13,534 14,003 21,109 27,068 28,006 42,218 56,012 74,437 84,436 128,573 148,874 257,146 297,748 514,292 1,414,303 2,828,606 5,657,212

Collatz Trajectory (113 steps to reach 1)

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

5,657,212 2,828,606 1,414,303 4,242,910 2,121,455 6,364,366 3,182,183 9,546,550 4,773,275 14,319,826 7,159,913 21,479,740 10,739,870 5,369,935 16,109,806 8,054,903 24,164,710 12,082,355 36,247,066 18,123,533 54,370,600 27,185,300 13,592,650 6,796,325 20,388,976 10,194,488 5,097,244 2,548,622 1,274,311 3,822,934 1,911,467 5,734,402 2,867,201 8,601,604 4,300,802 2,150,401 6,451,204 3,225,602 1,612,801 4,838,404 2,419,202 1,209,601 3,628,804 1,814,402 907,201 2,721,604 1,360,802 680,401 2,041,204 1,020,602 510,301 1,530,904 765,452 382,726 191,363 574,090 287,045 861,136 430,568 215,284

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