1,640,023

7 × 11 × 19² × 59

Starting at 1,640,023, the Collatz iteration reaches 1 after 88 steps. The first transition is 4920070; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 7 × 11 × 19^2 × 59

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 2,194,560

Proper Divisor Sum 554,537

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #1640021 ← → #1640033

Radix Representation

Decimal	1640023
Binary	110010000011001010111 (21 bits)
Octal	0o6203127
Hexadecimal	0x190657

Divisor Catalog (24)

1 7 11 19 59 77 133 209 361 413 649 1,121 1,463 2,527 3,971 4,543 7,847 12,331 21,299 27,797 86,317 149,093 234,289 1,640,023

Collatz Trajectory (88 steps to reach 1)

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

1,640,023 4,920,070 2,460,035 7,380,106 3,690,053 11,070,160 5,535,080 2,767,540 1,383,770 691,885 2,075,656 1,037,828 518,914 259,457 778,372 389,186 194,593 583,780 291,890 145,945 437,836 218,918 109,459 328,378 164,189 492,568 246,284 123,142 61,571 184,714 92,357 277,072 138,536 69,268 34,634 17,317 51,952 25,976 12,988 6,494 3,247 9,742 4,871 14,614 7,307 21,922 10,961 32,884 16,442 8,221 24,664 12,332 6,166 3,083 9,250 4,625 13,876 6,938 3,469 10,408

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