7,246,548

2² × 3² × 101 × 1993

Starting at 7,246,548, the Collatz iteration reaches 1 after 160 steps. The first transition is 3623274; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 101 × 1993

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 18,508,308

Proper Divisor Sum 11,261,760

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7246537 ← → #7246553

Radix Representation

Decimal	7246548
Binary	11011101001001011010100 (23 bits)
Octal	0o33511324
Hexadecimal	0x6E92D4

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 101 202 303 404 606 909 1,212 1,818 1,993 3,636 3,986 5,979 7,972 11,958 17,937 23,916 35,874 71,748 201,293 402,586 603,879 805,172 1,207,758 1,811,637 2,415,516 3,623,274 7,246,548

Collatz Trajectory (160 steps to reach 1)

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

7,246,548 3,623,274 1,811,637 5,434,912 2,717,456 1,358,728 679,364 339,682 169,841 509,524 254,762 127,381 382,144 191,072 95,536 47,768 23,884 11,942 5,971 17,914 8,957 26,872 13,436 6,718 3,359 10,078 5,039 15,118 7,559 22,678 11,339 34,018 17,009 51,028 25,514 12,757 38,272 19,136 9,568 4,784 2,392 1,196 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215

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