4,020,672

2⁶ × 3 × 43 × 487

Starting at 4,020,672, the Collatz iteration reaches 1 after 141 steps. The first transition is 2010336; the starting value is even with 56 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 3 × 43 × 487

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 56

Divisor Sum (σ) 10,907,776

Proper Divisor Sum 6,887,104

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #4020671 ← → #4020691

Radix Representation

Decimal	4020672
Binary	1111010101100111000000 (22 bits)
Octal	0o17254700
Hexadecimal	0x3D59C0

Divisor Catalog (56)

1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 129 172 192 258 344 487 516 688 974 1,032 1,376 1,461 1,948 2,064 2,752 2,922 3,896 4,128 5,844 7,792 8,256 11,688 15,584 20,941 23,376 31,168 41,882 46,752 62,823 83,764 93,504 125,646 167,528 251,292 335,056 502,584 670,112 1,005,168 1,340,224 2,010,336 4,020,672

Collatz Trajectory (141 steps to reach 1)

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

4,020,672 2,010,336 1,005,168 502,584 251,292 125,646 62,823 188,470 94,235 282,706 141,353 424,060 212,030 106,015 318,046 159,023 477,070 238,535 715,606 357,803 1,073,410 536,705 1,610,116 805,058 402,529 1,207,588 603,794 301,897 905,692 452,846 226,423 679,270 339,635 1,018,906 509,453 1,528,360 764,180 382,090 191,045 573,136 286,568 143,284 71,642 35,821 107,464 53,732 26,866 13,433 40,300 20,150 10,075 30,226 15,113 45,340 22,670 11,335 34,006 17,003 51,010 25,505

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