7,659,825

3 × 5² × 41 × 47 × 53

Starting at 7,659,825, the Collatz iteration reaches 1 after 124 steps. The first transition is 22979476; the starting value is odd with 48 positive divisors.

Prime Factor Structure

Factorization String 3 × 5^2 × 41 × 47 × 53

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 13,499,136

Proper Divisor Sum 5,839,311

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #7659811 ← → #7659853

Radix Representation

Decimal	7659825
Binary	11101001110000100110001 (23 bits)
Octal	0o35160461
Hexadecimal	0x74E131

Divisor Catalog (48)

1 3 5 15 25 41 47 53 75 123 141 159 205 235 265 615 705 795 1,025 1,175 1,325 1,927 2,173 2,491 3,075 3,525 3,975 5,781 6,519 7,473 9,635 10,865 12,455 28,905 32,595 37,365 48,175 54,325 62,275 102,131 144,525 162,975 186,825 306,393 510,655 1,531,965 2,553,275 7,659,825

Collatz Trajectory (124 steps to reach 1)

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

7,659,825 22,979,476 11,489,738 5,744,869 17,234,608 8,617,304 4,308,652 2,154,326 1,077,163 3,231,490 1,615,745 4,847,236 2,423,618 1,211,809 3,635,428 1,817,714 908,857 2,726,572 1,363,286 681,643 2,044,930 1,022,465 3,067,396 1,533,698 766,849 2,300,548 1,150,274 575,137 1,725,412 862,706 431,353 1,294,060 647,030 323,515 970,546 485,273 1,455,820 727,910 363,955 1,091,866 545,933 1,637,800 818,900 409,450 204,725 614,176 307,088 153,544 76,772 38,386 19,193 57,580 28,790 14,395 43,186 21,593 64,780 32,390 16,195 48,586

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