4,777,745

5 × 7² × 19501

Starting at 4,777,745, the Collatz iteration reaches 1 after 144 steps. The first transition is 14333236; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 5 × 7^2 × 19501

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,669,684

Proper Divisor Sum 1,891,939

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #4777739 ← → #4777769

Radix Representation

Decimal	4777745
Binary	10010001110011100010001 (23 bits)
Octal	0o22163421
Hexadecimal	0x48E711

Divisor Catalog (12)

1 5 7 35 49 245 19,501 97,505 136,507 682,535 955,549 4,777,745

Collatz Trajectory (144 steps to reach 1)

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

4,777,745 14,333,236 7,166,618 3,583,309 10,749,928 5,374,964 2,687,482 1,343,741 4,031,224 2,015,612 1,007,806 503,903 1,511,710 755,855 2,267,566 1,133,783 3,401,350 1,700,675 5,102,026 2,551,013 7,653,040 3,826,520 1,913,260 956,630 478,315 1,434,946 717,473 2,152,420 1,076,210 538,105 1,614,316 807,158 403,579 1,210,738 605,369 1,816,108 908,054 454,027 1,362,082 681,041 2,043,124 1,021,562 510,781 1,532,344 766,172 383,086 191,543 574,630 287,315 861,946 430,973 1,292,920 646,460 323,230 161,615 484,846 242,423 727,270 363,635 1,090,906

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