1,002,409

23 × 41 × 1063

Starting at 1,002,409, the Collatz iteration reaches 1 after 90 steps. The first transition is 3007228; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 23 × 41 × 1063

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,072,512

Proper Divisor Sum 70,103

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #1002403 ← → #1002427

Radix Representation

Decimal	1002409
Binary	11110100101110101001 (20 bits)
Octal	0o3645651
Hexadecimal	0xF4BA9

Divisor Catalog (8)

1 23 41 943 1,063 24,449 43,583 1,002,409

Collatz Trajectory (90 steps to reach 1)

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

1,002,409 3,007,228 1,503,614 751,807 2,255,422 1,127,711 3,383,134 1,691,567 5,074,702 2,537,351 7,612,054 3,806,027 11,418,082 5,709,041 17,127,124 8,563,562 4,281,781 12,845,344 6,422,672 3,211,336 1,605,668 802,834 401,417 1,204,252 602,126 301,063 903,190 451,595 1,354,786 677,393 2,032,180 1,016,090 508,045 1,524,136 762,068 381,034 190,517 571,552 285,776 142,888 71,444 35,722 17,861 53,584 26,792 13,396 6,698 3,349 10,048 5,024 2,512 1,256 628 314 157 472 236 118 59 178

More profiles

Browse other published profiles and their separate link collections.

Profile #1,085,388 Profile #2,866,586 Profile #2,416,671 Profile #5,064,289 Profile #3,469,465 Profile #4,735,257 Profile #3,997,595 Profile #8,533,971

← Previous Integer #1,002,408 Browse Full Index Next Integer #1,002,410 →