4,550,007

3 × 7 × 11 × 19697

4,550,007 factors as 3 × 7 × 11 × 19697. Its 16 positive divisors give a proper-divisor sum of 3,014,025, so this integer is deficient. The Collatz stopping time is 131 steps.

Prime Factor Structure

Factorization String 3 × 7 × 11 × 19697

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,564,032

Proper Divisor Sum 3,014,025

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #4550003 ← → #4550009

Radix Representation

Decimal	4550007
Binary	10001010110110101110111 (23 bits)
Octal	0o21266567
Hexadecimal	0x456D77

Divisor Catalog (16)

1 3 7 11 21 33 77 231 19,697 59,091 137,879 216,667 413,637 650,001 1,516,669 4,550,007

Collatz Trajectory (131 steps to reach 1)

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

4,550,007 13,650,022 6,825,011 20,475,034 10,237,517 30,712,552 15,356,276 7,678,138 3,839,069 11,517,208 5,758,604 2,879,302 1,439,651 4,318,954 2,159,477 6,478,432 3,239,216 1,619,608 809,804 404,902 202,451 607,354 303,677 911,032 455,516 227,758 113,879 341,638 170,819 512,458 256,229 768,688 384,344 192,172 96,086 48,043 144,130 72,065 216,196 108,098 54,049 162,148 81,074 40,537 121,612 60,806 30,403 91,210 45,605 136,816 68,408 34,204 17,102 8,551 25,654 12,827 38,482 19,241 57,724 28,862

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