6,964,032

2⁶ × 3 × 19 × 23 × 83

Starting at 6,964,032, the Collatz iteration reaches 1 after 54 steps. The first transition is 3482016; the starting value is even with 112 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 3 × 19 × 23 × 83

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 112

Divisor Sum (σ) 20,482,560

Proper Divisor Sum 13,518,528

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #6964021 ← → #6964073

Radix Representation

Decimal	6964032
Binary	11010100100001101000000 (23 bits)
Octal	0o32441500
Hexadecimal	0x6A4340

Divisor Catalog (60 of 112)

1 2 3 4 6 8 12 16 19 23 24 32 38 46 48 57 64 69 76 83 92 96 114 138 152 166 184 192 228 249 276 304 332 368 437 456 498 552 608 664 736 874 912 996 1,104 1,216 1,311 1,328 1,472 1,577 1,748 1,824 1,909 1,992 2,208 2,622 2,656 3,154 3,496 3,648

Collatz Trajectory (54 steps to reach 1)

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

6,964,032 3,482,016 1,741,008 870,504 435,252 217,626 108,813 326,440 163,220 81,610 40,805 122,416 61,208 30,604 15,302 7,651 22,954 11,477 34,432 17,216 8,608 4,304 2,152 1,076 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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