7,291,827

3² × 17 × 47659

Starting at 7,291,827, the Collatz iteration reaches 1 after 111 steps. The first transition is 21875482; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 17 × 47659

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 11,152,440

Proper Divisor Sum 3,860,613

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7291819 ← → #7291829

Radix Representation

Decimal	7291827
Binary	11011110100001110110011 (23 bits)
Octal	0o33641663
Hexadecimal	0x6F43B3

Divisor Catalog (12)

1 3 9 17 51 153 47,659 142,977 428,931 810,203 2,430,609 7,291,827

Collatz Trajectory (111 steps to reach 1)

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

7,291,827 21,875,482 10,937,741 32,813,224 16,406,612 8,203,306 4,101,653 12,304,960 6,152,480 3,076,240 1,538,120 769,060 384,530 192,265 576,796 288,398 144,199 432,598 216,299 648,898 324,449 973,348 486,674 243,337 730,012 365,006 182,503 547,510 273,755 821,266 410,633 1,231,900 615,950 307,975 923,926 461,963 1,385,890 692,945 2,078,836 1,039,418 519,709 1,559,128 779,564 389,782 194,891 584,674 292,337 877,012 438,506 219,253 657,760 328,880 164,440 82,220 41,110 20,555 61,666 30,833 92,500 46,250

← Previous Integer #7,291,826 Browse Full Index Next Integer #7,291,828 →