3,773,133

3² × 7 × 13 × 17 × 271

Starting at 3,773,133, the Collatz iteration reaches 1 after 110 steps. The first transition is 11319400; the starting value is odd with 48 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 7 × 13 × 17 × 271

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 7,128,576

Proper Divisor Sum 3,355,443

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3773131 ← → #3773137

Radix Representation

Decimal	3773133
Binary	1110011001001011001101 (22 bits)
Octal	0o16311315
Hexadecimal	0x3992CD

Divisor Catalog (48)

1 3 7 9 13 17 21 39 51 63 91 117 119 153 221 271 273 357 663 813 819 1,071 1,547 1,897 1,989 2,439 3,523 4,607 4,641 5,691 10,569 13,821 13,923 17,073 24,661 31,707 32,249 41,463 59,891 73,983 96,747 179,673 221,949 290,241 419,237 539,019 1,257,711 3,773,133

Collatz Trajectory (110 steps to reach 1)

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

3,773,133 11,319,400 5,659,700 2,829,850 1,414,925 4,244,776 2,122,388 1,061,194 530,597 1,591,792 795,896 397,948 198,974 99,487 298,462 149,231 447,694 223,847 671,542 335,771 1,007,314 503,657 1,510,972 755,486 377,743 1,133,230 566,615 1,699,846 849,923 2,549,770 1,274,885 3,824,656 1,912,328 956,164 478,082 239,041 717,124 358,562 179,281 537,844 268,922 134,461 403,384 201,692 100,846 50,423 151,270 75,635 226,906 113,453 340,360 170,180 85,090 42,545 127,636 63,818 31,909 95,728 47,864 23,932

← Previous Integer #3,773,132 Browse Full Index Next Integer #3,773,134 →