1,365,621

3 × 101 × 4507

Starting at 1,365,621, the Collatz iteration reaches 1 after 261 steps. The first transition is 4096864; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 101 × 4507

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,839,264

Proper Divisor Sum 473,643

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #1365583 ← → #1365659

Radix Representation

Decimal	1365621
Binary	101001101011001110101 (21 bits)
Octal	0o5153165
Hexadecimal	0x14D675

Divisor Catalog (8)

1 3 101 303 4,507 13,521 455,207 1,365,621

Collatz Trajectory (261 steps to reach 1)

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

1,365,621 4,096,864 2,048,432 1,024,216 512,108 256,054 128,027 384,082 192,041 576,124 288,062 144,031 432,094 216,047 648,142 324,071 972,214 486,107 1,458,322 729,161 2,187,484 1,093,742 546,871 1,640,614 820,307 2,460,922 1,230,461 3,691,384 1,845,692 922,846 461,423 1,384,270 692,135 2,076,406 1,038,203 3,114,610 1,557,305 4,671,916 2,335,958 1,167,979 3,503,938 1,751,969 5,255,908 2,627,954 1,313,977 3,941,932 1,970,966 985,483 2,956,450 1,478,225 4,434,676 2,217,338 1,108,669 3,326,008 1,663,004 831,502 415,751 1,247,254 623,627 1,870,882

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