7,604,652

2² × 3 × 11 × 53 × 1087

Starting at 7,604,652, the Collatz iteration reaches 1 after 155 steps. The first transition is 3802326; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 11 × 53 × 1087

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 19,740,672

Proper Divisor Sum 12,136,020

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #7604587 ← → #7604659

Radix Representation

Decimal	7604652
Binary	11101000000100110101100 (23 bits)
Octal	0o35004654
Hexadecimal	0x7409AC

Divisor Catalog (48)

1 2 3 4 6 11 12 22 33 44 53 66 106 132 159 212 318 583 636 1,087 1,166 1,749 2,174 2,332 3,261 3,498 4,348 6,522 6,996 11,957 13,044 23,914 35,871 47,828 57,611 71,742 115,222 143,484 172,833 230,444 345,666 633,721 691,332 1,267,442 1,901,163 2,534,884 3,802,326 7,604,652

Collatz Trajectory (155 steps to reach 1)

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

7,604,652 3,802,326 1,901,163 5,703,490 2,851,745 8,555,236 4,277,618 2,138,809 6,416,428 3,208,214 1,604,107 4,812,322 2,406,161 7,218,484 3,609,242 1,804,621 5,413,864 2,706,932 1,353,466 676,733 2,030,200 1,015,100 507,550 253,775 761,326 380,663 1,141,990 570,995 1,712,986 856,493 2,569,480 1,284,740 642,370 321,185 963,556 481,778 240,889 722,668 361,334 180,667 542,002 271,001 813,004 406,502 203,251 609,754 304,877 914,632 457,316 228,658 114,329 342,988 171,494 85,747 257,242 128,621 385,864 192,932 96,466 48,233

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