4,900,137

3 × 11² × 13499

Starting at 4,900,137, the Collatz iteration reaches 1 after 118 steps. The first transition is 14700412; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3 × 11^2 × 13499

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,182,000

Proper Divisor Sum 2,281,863

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #4900123 ← → #4900153

Radix Representation

Decimal	4900137
Binary	10010101100010100101001 (23 bits)
Octal	0o22542451
Hexadecimal	0x4AC529

Divisor Catalog (12)

1 3 11 33 121 363 13,499 40,497 148,489 445,467 1,633,379 4,900,137

Collatz Trajectory (118 steps to reach 1)

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

4,900,137 14,700,412 7,350,206 3,675,103 11,025,310 5,512,655 16,537,966 8,268,983 24,806,950 12,403,475 37,210,426 18,605,213 55,815,640 27,907,820 13,953,910 6,976,955 20,930,866 10,465,433 31,396,300 15,698,150 7,849,075 23,547,226 11,773,613 35,320,840 17,660,420 8,830,210 4,415,105 13,245,316 6,622,658 3,311,329 9,933,988 4,966,994 2,483,497 7,450,492 3,725,246 1,862,623 5,587,870 2,793,935 8,381,806 4,190,903 12,572,710 6,286,355 18,859,066 9,429,533 28,288,600 14,144,300 7,072,150 3,536,075 10,608,226 5,304,113 15,912,340 7,956,170 3,978,085 11,934,256 5,967,128 2,983,564 1,491,782 745,891 2,237,674 1,118,837

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