7,736,569

53 × 61 × 2393

Starting at 7,736,569, the Collatz iteration reaches 1 after 129 steps. The first transition is 23209708; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 53 × 61 × 2393

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 8,015,112

Proper Divisor Sum 278,543

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #7736567 ← → #7736587

Radix Representation

Decimal	7736569
Binary	11101100000110011111001 (23 bits)
Octal	0o35406371
Hexadecimal	0x760CF9

Divisor Catalog (8)

1 53 61 2,393 3,233 126,829 145,973 7,736,569

Collatz Trajectory (129 steps to reach 1)

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

7,736,569 23,209,708 11,604,854 5,802,427 17,407,282 8,703,641 26,110,924 13,055,462 6,527,731 19,583,194 9,791,597 29,374,792 14,687,396 7,343,698 3,671,849 11,015,548 5,507,774 2,753,887 8,261,662 4,130,831 12,392,494 6,196,247 18,588,742 9,294,371 27,883,114 13,941,557 41,824,672 20,912,336 10,456,168 5,228,084 2,614,042 1,307,021 3,921,064 1,960,532 980,266 490,133 1,470,400 735,200 367,600 183,800 91,900 45,950 22,975 68,926 34,463 103,390 51,695 155,086 77,543 232,630 116,315 348,946 174,473 523,420 261,710 130,855 392,566 196,283 588,850 294,425

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