7,701,372

2² × 3³ × 7 × 61 × 167

Starting at 7,701,372, the Collatz iteration reaches 1 after 160 steps. The first transition is 3850686; the starting value is even with 96 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 7 × 61 × 167

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 23,331,840

Proper Divisor Sum 15,630,468

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7701347 ← → #7701409

Radix Representation

Decimal	7701372
Binary	11101011000001101111100 (23 bits)
Octal	0o35301574
Hexadecimal	0x75837C

Divisor Catalog (60 of 96)

1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 61 63 84 108 122 126 167 183 189 244 252 334 366 378 427 501 549 668 732 756 854 1,002 1,098 1,169 1,281 1,503 1,647 1,708 2,004 2,196 2,338 2,562 3,006 3,294 3,507 3,843 4,509 4,676 5,124 6,012 6,588 7,014 7,686 9,018

Collatz Trajectory (160 steps to reach 1)

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

7,701,372 3,850,686 1,925,343 5,776,030 2,888,015 8,664,046 4,332,023 12,996,070 6,498,035 19,494,106 9,747,053 29,241,160 14,620,580 7,310,290 3,655,145 10,965,436 5,482,718 2,741,359 8,224,078 4,112,039 12,336,118 6,168,059 18,504,178 9,252,089 27,756,268 13,878,134 6,939,067 20,817,202 10,408,601 31,225,804 15,612,902 7,806,451 23,419,354 11,709,677 35,129,032 17,564,516 8,782,258 4,391,129 13,173,388 6,586,694 3,293,347 9,880,042 4,940,021 14,820,064 7,410,032 3,705,016 1,852,508 926,254 463,127 1,389,382 694,691 2,084,074 1,042,037 3,126,112 1,563,056 781,528 390,764 195,382 97,691 293,074

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