7,776,364

2² × 37 × 52543

Starting at 7,776,364, the Collatz iteration reaches 1 after 93 steps. The first transition is 3888182; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 37 × 52543

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 13,976,704

Proper Divisor Sum 6,200,340

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #7776331 ← → #7776371

Radix Representation

Decimal	7776364
Binary	11101101010100001101100 (23 bits)
Octal	0o35524154
Hexadecimal	0x76A86C

Divisor Catalog (12)

1 2 4 37 74 148 52,543 105,086 210,172 1,944,091 3,888,182 7,776,364

Collatz Trajectory (93 steps to reach 1)

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

7,776,364 3,888,182 1,944,091 5,832,274 2,916,137 8,748,412 4,374,206 2,187,103 6,561,310 3,280,655 9,841,966 4,920,983 14,762,950 7,381,475 22,144,426 11,072,213 33,216,640 16,608,320 8,304,160 4,152,080 2,076,040 1,038,020 519,010 259,505 778,516 389,258 194,629 583,888 291,944 145,972 72,986 36,493 109,480 54,740 27,370 13,685 41,056 20,528 10,264 5,132 2,566 1,283 3,850 1,925 5,776 2,888 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376

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