λ
Sequence Observatory

4,590,537

3 × 7 × 47 × 4651
Deficient Odd Composite

Starting at 4,590,537, the Collatz iteration reaches 1 after 237 steps. The first transition is 13771612; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 47 × 4651
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,145,472
Proper Divisor Sum 2,554,935
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #4590517 ← → #4590557

Radix Representation

Decimal 4590537
Binary 10001100000101111001001 (23 bits)
Octal 0o21405711
Hexadecimal 0x460BC9

Divisor Catalog (16)

1 3 7 21 47 141 329 987 4,651 13,953 32,557 97,671 218,597 655,791 1,530,179 4,590,537

Collatz Trajectory (237 steps to reach 1)

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

4,590,537 13,771,612 6,885,806 3,442,903 10,328,710 5,164,355 15,493,066 7,746,533 23,239,600 11,619,800 5,809,900 2,904,950 1,452,475 4,357,426 2,178,713 6,536,140 3,268,070 1,634,035 4,902,106 2,451,053 7,353,160 3,676,580 1,838,290 919,145 2,757,436 1,378,718 689,359 2,068,078 1,034,039 3,102,118 1,551,059 4,653,178 2,326,589 6,979,768 3,489,884 1,744,942 872,471 2,617,414 1,308,707 3,926,122 1,963,061 5,889,184 2,944,592 1,472,296 736,148 368,074 184,037 552,112 276,056 138,028 69,014 34,507 103,522 51,761 155,284 77,642 38,821 116,464 58,232 29,116

More profiles

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