7,219,513

7² × 251 × 587

Starting at 7,219,513, the Collatz iteration reaches 1 after 116 steps. The first transition is 21658540; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 7^2 × 251 × 587

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 8,446,032

Proper Divisor Sum 1,226,519

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #7219507 ← → #7219519

Radix Representation

Decimal	7219513
Binary	11011100010100100111001 (23 bits)
Octal	0o33424471
Hexadecimal	0x6E2939

Divisor Catalog (12)

1 7 49 251 587 1,757 4,109 12,299 28,763 147,337 1,031,359 7,219,513

Collatz Trajectory (116 steps to reach 1)

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

7,219,513 21,658,540 10,829,270 5,414,635 16,243,906 8,121,953 24,365,860 12,182,930 6,091,465 18,274,396 9,137,198 4,568,599 13,705,798 6,852,899 20,558,698 10,279,349 30,838,048 15,419,024 7,709,512 3,854,756 1,927,378 963,689 2,891,068 1,445,534 722,767 2,168,302 1,084,151 3,252,454 1,626,227 4,878,682 2,439,341 7,318,024 3,659,012 1,829,506 914,753 2,744,260 1,372,130 686,065 2,058,196 1,029,098 514,549 1,543,648 771,824 385,912 192,956 96,478 48,239 144,718 72,359 217,078 108,539 325,618 162,809 488,428 244,214 122,107 366,322 183,161 549,484 274,742

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