4,152,991

37 × 107 × 1049

Starting at 4,152,991, the Collatz iteration reaches 1 after 379 steps. The first transition is 12458974; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 37 × 107 × 1049

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,309,200

Proper Divisor Sum 156,209

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #4152989 ← → #4152997

Radix Representation

Decimal	4152991
Binary	1111110101111010011111 (22 bits)
Octal	0o17657237
Hexadecimal	0x3F5E9F

Divisor Catalog (8)

1 37 107 1,049 3,959 38,813 112,243 4,152,991

Collatz Trajectory (379 steps to reach 1)

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

4,152,991 12,458,974 6,229,487 18,688,462 9,344,231 28,032,694 14,016,347 42,049,042 21,024,521 63,073,564 31,536,782 15,768,391 47,305,174 23,652,587 70,957,762 35,478,881 106,436,644 53,218,322 26,609,161 79,827,484 39,913,742 19,956,871 59,870,614 29,935,307 89,805,922 44,902,961 134,708,884 67,354,442 33,677,221 101,031,664 50,515,832 25,257,916 12,628,958 6,314,479 18,943,438 9,471,719 28,415,158 14,207,579 42,622,738 21,311,369 63,934,108 31,967,054 15,983,527 47,950,582 23,975,291 71,925,874 35,962,937 107,888,812 53,944,406 26,972,203 80,916,610 40,458,305 121,374,916 60,687,458 30,343,729 91,031,188 45,515,594 22,757,797 68,273,392 34,136,696

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