7,721,789

37 × 208697

Starting at 7,721,789, the Collatz iteration reaches 1 after 235 steps. The first transition is 23165368; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 37 × 208697

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 7,930,524

Proper Divisor Sum 208,735

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #7721761 ← → #7721827

Radix Representation

Decimal	7721789
Binary	11101011101001100111101 (23 bits)
Octal	0o35351475
Hexadecimal	0x75D33D

Divisor Catalog (4)

1 37 208,697 7,721,789

Collatz Trajectory (235 steps to reach 1)

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

7,721,789 23,165,368 11,582,684 5,791,342 2,895,671 8,687,014 4,343,507 13,030,522 6,515,261 19,545,784 9,772,892 4,886,446 2,443,223 7,329,670 3,664,835 10,994,506 5,497,253 16,491,760 8,245,880 4,122,940 2,061,470 1,030,735 3,092,206 1,546,103 4,638,310 2,319,155 6,957,466 3,478,733 10,436,200 5,218,100 2,609,050 1,304,525 3,913,576 1,956,788 978,394 489,197 1,467,592 733,796 366,898 183,449 550,348 275,174 137,587 412,762 206,381 619,144 309,572 154,786 77,393 232,180 116,090 58,045 174,136 87,068 43,534 21,767 65,302 32,651 97,954 48,977

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