4,957,952

2⁸ × 107 × 181

Starting at 4,957,952, the Collatz iteration reaches 1 after 175 steps. The first transition is 2478976; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^8 × 107 × 181

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 10,044,216

Proper Divisor Sum 5,086,264

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #4957937 ← → #4957969

Radix Representation

Decimal	4957952
Binary	10010111010011100000000 (23 bits)
Octal	0o22723400
Hexadecimal	0x4BA700

Divisor Catalog (36)

1 2 4 8 16 32 64 107 128 181 214 256 362 428 724 856 1,448 1,712 2,896 3,424 5,792 6,848 11,584 13,696 19,367 23,168 27,392 38,734 46,336 77,468 154,936 309,872 619,744 1,239,488 2,478,976 4,957,952

Collatz Trajectory (175 steps to reach 1)

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

4,957,952 2,478,976 1,239,488 619,744 309,872 154,936 77,468 38,734 19,367 58,102 29,051 87,154 43,577 130,732 65,366 32,683 98,050 49,025 147,076 73,538 36,769 110,308 55,154 27,577 82,732 41,366 20,683 62,050 31,025 93,076 46,538 23,269 69,808 34,904 17,452 8,726 4,363 13,090 6,545 19,636 9,818 4,909 14,728 7,364 3,682 1,841 5,524 2,762 1,381 4,144 2,072 1,036 518 259 778 389 1,168 584 292 146

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