4,621,642

2 × 1033 × 2237

Starting at 4,621,642, the Collatz iteration reaches 1 after 162 steps. The first transition is 2310821; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 1033 × 2237

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 6,942,276

Proper Divisor Sum 2,320,634

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #4621621 ← → #4621649

Radix Representation

Decimal	4621642
Binary	10001101000010101001010 (23 bits)
Octal	0o21502512
Hexadecimal	0x46854A

Divisor Catalog (8)

1 2 1,033 2,066 2,237 4,474 2,310,821 4,621,642

Collatz Trajectory (162 steps to reach 1)

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

4,621,642 2,310,821 6,932,464 3,466,232 1,733,116 866,558 433,279 1,299,838 649,919 1,949,758 974,879 2,924,638 1,462,319 4,386,958 2,193,479 6,580,438 3,290,219 9,870,658 4,935,329 14,805,988 7,402,994 3,701,497 11,104,492 5,552,246 2,776,123 8,328,370 4,164,185 12,492,556 6,246,278 3,123,139 9,369,418 4,684,709 14,054,128 7,027,064 3,513,532 1,756,766 878,383 2,635,150 1,317,575 3,952,726 1,976,363 5,929,090 2,964,545 8,893,636 4,446,818 2,223,409 6,670,228 3,335,114 1,667,557 5,002,672 2,501,336 1,250,668 625,334 312,667 938,002 469,001 1,407,004 703,502 351,751 1,055,254

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