7,232,176

2⁴ × 7 × 31 × 2083

Starting at 7,232,176, the Collatz iteration reaches 1 after 116 steps. The first transition is 3616088; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 7 × 31 × 2083

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 16,538,624

Proper Divisor Sum 9,306,448

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #7232171 ← → #7232209

Radix Representation

Decimal	7232176
Binary	11011100101101010110000 (23 bits)
Octal	0o33455260
Hexadecimal	0x6E5AB0

Divisor Catalog (40)

1 2 4 7 8 14 16 28 31 56 62 112 124 217 248 434 496 868 1,736 2,083 3,472 4,166 8,332 14,581 16,664 29,162 33,328 58,324 64,573 116,648 129,146 233,296 258,292 452,011 516,584 904,022 1,033,168 1,808,044 3,616,088 7,232,176

Collatz Trajectory (116 steps to reach 1)

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

7,232,176 3,616,088 1,808,044 904,022 452,011 1,356,034 678,017 2,034,052 1,017,026 508,513 1,525,540 762,770 381,385 1,144,156 572,078 286,039 858,118 429,059 1,287,178 643,589 1,930,768 965,384 482,692 241,346 120,673 362,020 181,010 90,505 271,516 135,758 67,879 203,638 101,819 305,458 152,729 458,188 229,094 114,547 343,642 171,821 515,464 257,732 128,866 64,433 193,300 96,650 48,325 144,976 72,488 36,244 18,122 9,061 27,184 13,592 6,796 3,398 1,699 5,098 2,549 7,648

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