7,664,415

3 × 5 × 11 × 46451

Starting at 7,664,415, the Collatz iteration reaches 1 after 235 steps. The first transition is 22993246; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 11 × 46451

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,378,176

Proper Divisor Sum 5,713,761

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7664407 ← → #7664453

Radix Representation

Decimal	7664415
Binary	11101001111001100011111 (23 bits)
Octal	0o35171437
Hexadecimal	0x74F31F

Divisor Catalog (16)

1 3 5 11 15 33 55 165 46,451 139,353 232,255 510,961 696,765 1,532,883 2,554,805 7,664,415

Collatz Trajectory (235 steps to reach 1)

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

7,664,415 22,993,246 11,496,623 34,489,870 17,244,935 51,734,806 25,867,403 77,602,210 38,801,105 116,403,316 58,201,658 29,100,829 87,302,488 43,651,244 21,825,622 10,912,811 32,738,434 16,369,217 49,107,652 24,553,826 12,276,913 36,830,740 18,415,370 9,207,685 27,623,056 13,811,528 6,905,764 3,452,882 1,726,441 5,179,324 2,589,662 1,294,831 3,884,494 1,942,247 5,826,742 2,913,371 8,740,114 4,370,057 13,110,172 6,555,086 3,277,543 9,832,630 4,916,315 14,748,946 7,374,473 22,123,420 11,061,710 5,530,855 16,592,566 8,296,283 24,888,850 12,444,425 37,333,276 18,666,638 9,333,319 27,999,958 13,999,979 41,999,938 20,999,969 62,999,908

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