5,827,253

59 × 283 × 349

Starting at 5,827,253, the Collatz iteration reaches 1 after 95 steps. The first transition is 17481760; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 59 × 283 × 349

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 5,964,000

Proper Divisor Sum 136,747

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #5827229 ← → #5827259

Radix Representation

Decimal	5827253
Binary	10110001110101010110101 (23 bits)
Octal	0o26165265
Hexadecimal	0x58EAB5

Divisor Catalog (8)

1 59 283 349 16,697 20,591 98,767 5,827,253

Collatz Trajectory (95 steps to reach 1)

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

5,827,253 17,481,760 8,740,880 4,370,440 2,185,220 1,092,610 546,305 1,638,916 819,458 409,729 1,229,188 614,594 307,297 921,892 460,946 230,473 691,420 345,710 172,855 518,566 259,283 777,850 388,925 1,166,776 583,388 291,694 145,847 437,542 218,771 656,314 328,157 984,472 492,236 246,118 123,059 369,178 184,589 553,768 276,884 138,442 69,221 207,664 103,832 51,916 25,958 12,979 38,938 19,469 58,408 29,204 14,602 7,301 21,904 10,952 5,476 2,738 1,369 4,108 2,054 1,027

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