7,534,860

2² × 3 × 5 × 31 × 4051

Starting at 7,534,860, the Collatz iteration reaches 1 after 129 steps. The first transition is 3767430; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 31 × 4051

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 21,783,552

Proper Divisor Sum 14,248,692

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7534837 ← → #7534871

Radix Representation

Decimal	7534860
Binary	11100101111100100001100 (23 bits)
Octal	0o34574414
Hexadecimal	0x72F90C

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1,860 4,051 8,102 12,153 16,204 20,255 24,306 40,510 48,612 60,765 81,020 121,530 125,581 243,060 251,162 376,743 502,324 627,905 753,486 1,255,810 1,506,972 1,883,715 2,511,620 3,767,430 7,534,860

Collatz Trajectory (129 steps to reach 1)

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

7,534,860 3,767,430 1,883,715 5,651,146 2,825,573 8,476,720 4,238,360 2,119,180 1,059,590 529,795 1,589,386 794,693 2,384,080 1,192,040 596,020 298,010 149,005 447,016 223,508 111,754 55,877 167,632 83,816 41,908 20,954 10,477 31,432 15,716 7,858 3,929 11,788 5,894 2,947 8,842 4,421 13,264 6,632 3,316 1,658 829 2,488 1,244 622 311 934 467 1,402 701 2,104 1,052 526 263 790 395 1,186 593 1,780 890 445 1,336

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