5,833,735

5 × 31 × 61 × 617

Starting at 5,833,735, the Collatz iteration reaches 1 after 183 steps. The first transition is 17501206; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 5 × 31 × 61 × 617

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,356,672

Proper Divisor Sum 1,522,937

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #5833721 ← → #5833739

Radix Representation

Decimal	5833735
Binary	10110010000010000000111 (23 bits)
Octal	0o26202007
Hexadecimal	0x590407

Divisor Catalog (16)

1 5 31 61 155 305 617 1,891 3,085 9,455 19,127 37,637 95,635 188,185 1,166,747 5,833,735

Collatz Trajectory (183 steps to reach 1)

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

5,833,735 17,501,206 8,750,603 26,251,810 13,125,905 39,377,716 19,688,858 9,844,429 29,533,288 14,766,644 7,383,322 3,691,661 11,074,984 5,537,492 2,768,746 1,384,373 4,153,120 2,076,560 1,038,280 519,140 259,570 129,785 389,356 194,678 97,339 292,018 146,009 438,028 219,014 109,507 328,522 164,261 492,784 246,392 123,196 61,598 30,799 92,398 46,199 138,598 69,299 207,898 103,949 311,848 155,924 77,962 38,981 116,944 58,472 29,236 14,618 7,309 21,928 10,964 5,482 2,741 8,224 4,112 2,056 1,028

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