7,840,759

29 × 270371

Starting at 7,840,759, the Collatz iteration reaches 1 after 124 steps. The first transition is 23522278; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 29 × 270371

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 8,111,160

Proper Divisor Sum 270,401

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #7840733 ← → #7840771

Radix Representation

Decimal	7840759
Binary	11101111010001111110111 (23 bits)
Octal	0o35721767
Hexadecimal	0x77A3F7

Divisor Catalog (4)

1 29 270,371 7,840,759

Collatz Trajectory (124 steps to reach 1)

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

7,840,759 23,522,278 11,761,139 35,283,418 17,641,709 52,925,128 26,462,564 13,231,282 6,615,641 19,846,924 9,923,462 4,961,731 14,885,194 7,442,597 22,327,792 11,163,896 5,581,948 2,790,974 1,395,487 4,186,462 2,093,231 6,279,694 3,139,847 9,419,542 4,709,771 14,129,314 7,064,657 21,193,972 10,596,986 5,298,493 15,895,480 7,947,740 3,973,870 1,986,935 5,960,806 2,980,403 8,941,210 4,470,605 13,411,816 6,705,908 3,352,954 1,676,477 5,029,432 2,514,716 1,257,358 628,679 1,886,038 943,019 2,829,058 1,414,529 4,243,588 2,121,794 1,060,897 3,182,692 1,591,346 795,673 2,387,020 1,193,510 596,755 1,790,266

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