3,578,980

2² × 5 × 149 × 1201

Starting at 3,578,980, the Collatz iteration reaches 1 after 221 steps. The first transition is 1789490; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 149 × 1201

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 7,572,600

Proper Divisor Sum 3,993,620

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #3578969 ← → #3578989

Radix Representation

Decimal	3578980
Binary	1101101001110001100100 (22 bits)
Octal	0o15516144
Hexadecimal	0x369C64

Divisor Catalog (24)

Collatz Trajectory (221 steps to reach 1)

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

3,578,980 1,789,490 894,745 2,684,236 1,342,118 671,059 2,013,178 1,006,589 3,019,768 1,509,884 754,942 377,471 1,132,414 566,207 1,698,622 849,311 2,547,934 1,273,967 3,821,902 1,910,951 5,732,854 2,866,427 8,599,282 4,299,641 12,898,924 6,449,462 3,224,731 9,674,194 4,837,097 14,511,292 7,255,646 3,627,823 10,883,470 5,441,735 16,325,206 8,162,603 24,487,810 12,243,905 36,731,716 18,365,858 9,182,929 27,548,788 13,774,394 6,887,197 20,661,592 10,330,796 5,165,398 2,582,699 7,748,098 3,874,049 11,622,148 5,811,074 2,905,537 8,716,612 4,358,306 2,179,153 6,537,460 3,268,730 1,634,365 4,903,096

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