9,844,757

13³ × 4481

Starting at 9,844,757, the Collatz iteration reaches 1 after 238 steps. The first transition is 29534272; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 13^3 × 4481

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,667,160

Proper Divisor Sum 822,403

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #9844753 ← → #9844777

Radix Representation

Decimal	9844757
Binary	100101100011100000010101 (24 bits)
Octal	0o45434025
Hexadecimal	0x963815

Divisor Catalog (8)

1 13 169 2,197 4,481 58,253 757,289 9,844,757

Collatz Trajectory (238 steps to reach 1)

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

9,844,757 29,534,272 14,767,136 7,383,568 3,691,784 1,845,892 922,946 461,473 1,384,420 692,210 346,105 1,038,316 519,158 259,579 778,738 389,369 1,168,108 584,054 292,027 876,082 438,041 1,314,124 657,062 328,531 985,594 492,797 1,478,392 739,196 369,598 184,799 554,398 277,199 831,598 415,799 1,247,398 623,699 1,871,098 935,549 2,806,648 1,403,324 701,662 350,831 1,052,494 526,247 1,578,742 789,371 2,368,114 1,184,057 3,552,172 1,776,086 888,043 2,664,130 1,332,065 3,996,196 1,998,098 999,049 2,997,148 1,498,574 749,287 2,247,862

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