7,661,533

11 × 696503

Starting at 7,661,533, the Collatz iteration reaches 1 after 129 steps. The first transition is 22984600; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 11 × 696503

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 8,358,048

Proper Divisor Sum 696,515

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #7661531 ← → #7661567

Radix Representation

Decimal	7661533
Binary	11101001110011111011101 (23 bits)
Octal	0o35163735
Hexadecimal	0x74E7DD

Divisor Catalog (4)

1 11 696,503 7,661,533

Collatz Trajectory (129 steps to reach 1)

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

7,661,533 22,984,600 11,492,300 5,746,150 2,873,075 8,619,226 4,309,613 12,928,840 6,464,420 3,232,210 1,616,105 4,848,316 2,424,158 1,212,079 3,636,238 1,818,119 5,454,358 2,727,179 8,181,538 4,090,769 12,272,308 6,136,154 3,068,077 9,204,232 4,602,116 2,301,058 1,150,529 3,451,588 1,725,794 862,897 2,588,692 1,294,346 647,173 1,941,520 970,760 485,380 242,690 121,345 364,036 182,018 91,009 273,028 136,514 68,257 204,772 102,386 51,193 153,580 76,790 38,395 115,186 57,593 172,780 86,390 43,195 129,586 64,793 194,380 97,190 48,595

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