1,621,652

2² × 405413

Starting at 1,621,652, the Collatz iteration reaches 1 after 207 steps. The first transition is 810826; the starting value is even with 6 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 405413

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 2,837,898

Proper Divisor Sum 1,216,246

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #1621643 ← → #1621657

Radix Representation

Decimal	1621652
Binary	110001011111010010100 (21 bits)
Octal	0o6137224
Hexadecimal	0x18BE94

Divisor Catalog (6)

1 2 4 405,413 810,826 1,621,652

Collatz Trajectory (207 steps to reach 1)

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

1,621,652 810,826 405,413 1,216,240 608,120 304,060 152,030 76,015 228,046 114,023 342,070 171,035 513,106 256,553 769,660 384,830 192,415 577,246 288,623 865,870 432,935 1,298,806 649,403 1,948,210 974,105 2,922,316 1,461,158 730,579 2,191,738 1,095,869 3,287,608 1,643,804 821,902 410,951 1,232,854 616,427 1,849,282 924,641 2,773,924 1,386,962 693,481 2,080,444 1,040,222 520,111 1,560,334 780,167 2,340,502 1,170,251 3,510,754 1,755,377 5,266,132 2,633,066 1,316,533 3,949,600 1,974,800 987,400 493,700 246,850 123,425 370,276

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