7,211,553

3 × 17 × 141403

Starting at 7,211,553, the Collatz iteration reaches 1 after 90 steps. The first transition is 21634660; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 17 × 141403

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,181,088

Proper Divisor Sum 2,969,535

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #7211537 ← → #7211569

Radix Representation

Decimal	7211553
Binary	11011100000101000100001 (23 bits)
Octal	0o33405041
Hexadecimal	0x6E0A21

Divisor Catalog (8)

1 3 17 51 141,403 424,209 2,403,851 7,211,553

Collatz Trajectory (90 steps to reach 1)

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

7,211,553 21,634,660 10,817,330 5,408,665 16,225,996 8,112,998 4,056,499 12,169,498 6,084,749 18,254,248 9,127,124 4,563,562 2,281,781 6,845,344 3,422,672 1,711,336 855,668 427,834 213,917 641,752 320,876 160,438 80,219 240,658 120,329 360,988 180,494 90,247 270,742 135,371 406,114 203,057 609,172 304,586 152,293 456,880 228,440 114,220 57,110 28,555 85,666 42,833 128,500 64,250 32,125 96,376 48,188 24,094 12,047 36,142 18,071 54,214 27,107 81,322 40,661 121,984 60,992 30,496 15,248 7,624

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