7,213,989

3 × 53 × 59 × 769

Starting at 7,213,989, the Collatz iteration reaches 1 after 142 steps. The first transition is 21641968; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 53 × 59 × 769

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 9,979,200

Proper Divisor Sum 2,765,211

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #7213937 ← → #7214023

Radix Representation

Decimal	7213989
Binary	11011100001001110100101 (23 bits)
Octal	0o33411645
Hexadecimal	0x6E13A5

Divisor Catalog (16)

1 3 53 59 159 177 769 2,307 3,127 9,381 40,757 45,371 122,271 136,113 2,404,663 7,213,989

Collatz Trajectory (142 steps to reach 1)

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

7,213,989 21,641,968 10,820,984 5,410,492 2,705,246 1,352,623 4,057,870 2,028,935 6,086,806 3,043,403 9,130,210 4,565,105 13,695,316 6,847,658 3,423,829 10,271,488 5,135,744 2,567,872 1,283,936 641,968 320,984 160,492 80,246 40,123 120,370 60,185 180,556 90,278 45,139 135,418 67,709 203,128 101,564 50,782 25,391 76,174 38,087 114,262 57,131 171,394 85,697 257,092 128,546 64,273 192,820 96,410 48,205 144,616 72,308 36,154 18,077 54,232 27,116 13,558 6,779 20,338 10,169 30,508 15,254 7,627

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