628,777

127 × 4951

Starting at 628,777, the Collatz iteration reaches 1 after 110 steps. The first transition is 1886332; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 127 × 4951

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 633,856

Proper Divisor Sum 5,079

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #628759 ← → #628781

Radix Representation

Decimal	628777
Binary	10011001100000101001 (20 bits)
Octal	0o2314051
Hexadecimal	0x99829

Divisor Catalog (4)

1 127 4,951 628,777

Collatz Trajectory (110 steps to reach 1)

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

628,777 1,886,332 943,166 471,583 1,414,750 707,375 2,122,126 1,061,063 3,183,190 1,591,595 4,774,786 2,387,393 7,162,180 3,581,090 1,790,545 5,371,636 2,685,818 1,342,909 4,028,728 2,014,364 1,007,182 503,591 1,510,774 755,387 2,266,162 1,133,081 3,399,244 1,699,622 849,811 2,549,434 1,274,717 3,824,152 1,912,076 956,038 478,019 1,434,058 717,029 2,151,088 1,075,544 537,772 268,886 134,443 403,330 201,665 604,996 302,498 151,249 453,748 226,874 113,437 340,312 170,156 85,078 42,539 127,618 63,809 191,428 95,714 47,857 143,572

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