2,123,757

3² × 29 × 79 × 103

Starting at 2,123,757, the Collatz iteration reaches 1 after 148 steps. The first transition is 6371272; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 29 × 79 × 103

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 3,244,800

Proper Divisor Sum 1,121,043

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2123753 ← → #2123761

Radix Representation

Decimal	2123757
Binary	1000000110011111101101 (22 bits)
Octal	0o10063755
Hexadecimal	0x2067ED

Divisor Catalog (24)

1 3 9 29 79 87 103 237 261 309 711 927 2,291 2,987 6,873 8,137 8,961 20,619 24,411 26,883 73,233 235,973 707,919 2,123,757

Collatz Trajectory (148 steps to reach 1)

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

2,123,757 6,371,272 3,185,636 1,592,818 796,409 2,389,228 1,194,614 597,307 1,791,922 895,961 2,687,884 1,343,942 671,971 2,015,914 1,007,957 3,023,872 1,511,936 755,968 377,984 188,992 94,496 47,248 23,624 11,812 5,906 2,953 8,860 4,430 2,215 6,646 3,323 9,970 4,985 14,956 7,478 3,739 11,218 5,609 16,828 8,414 4,207 12,622 6,311 18,934 9,467 28,402 14,201 42,604 21,302 10,651 31,954 15,977 47,932 23,966 11,983 35,950 17,975 53,926 26,963 80,890

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