7,770,945

3 × 5 × 7 × 13 × 5693

Starting at 7,770,945, the Collatz iteration reaches 1 after 93 steps. The first transition is 23312836; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 13 × 5693

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 15,305,472

Proper Divisor Sum 7,534,527

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #7770929 ← → #7770953

Radix Representation

Decimal	7770945
Binary	11101101001001101000001 (23 bits)
Octal	0o35511501
Hexadecimal	0x769341

Divisor Catalog (32)

1 3 5 7 13 15 21 35 39 65 91 105 195 273 455 1,365 5,693 17,079 28,465 39,851 74,009 85,395 119,553 199,255 222,027 370,045 518,063 597,765 1,110,135 1,554,189 2,590,315 7,770,945

Collatz Trajectory (93 steps to reach 1)

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

7,770,945 23,312,836 11,656,418 5,828,209 17,484,628 8,742,314 4,371,157 13,113,472 6,556,736 3,278,368 1,639,184 819,592 409,796 204,898 102,449 307,348 153,674 76,837 230,512 115,256 57,628 28,814 14,407 43,222 21,611 64,834 32,417 97,252 48,626 24,313 72,940 36,470 18,235 54,706 27,353 82,060 41,030 20,515 61,546 30,773 92,320 46,160 23,080 11,540 5,770 2,885 8,656 4,328 2,164 1,082 541 1,624 812 406 203 610 305 916 458 229

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