1,551,984

2⁴ × 3 × 7 × 31 × 149

1,551,984 factors as 2^4 × 3 × 7 × 31 × 149. Its 80 positive divisors give a proper-divisor sum of 3,209,616, so this integer is abundant. The Collatz stopping time is 163 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 7 × 31 × 149

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 4,761,600

Proper Divisor Sum 3,209,616

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #1551967 ← → #1551997

Radix Representation

Decimal	1551984
Binary	101111010111001110000 (21 bits)
Octal	0o5727160
Hexadecimal	0x17AE70

Divisor Catalog (60 of 80)

1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 112 124 149 168 186 217 248 298 336 372 434 447 496 596 651 744 868 894 1,043 1,192 1,302 1,488 1,736 1,788 2,086 2,384 2,604 3,129 3,472 3,576 4,172 4,619 5,208 6,258 7,152 8,344 9,238 10,416 12,516 13,857

Collatz Trajectory (163 steps to reach 1)

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

1,551,984 775,992 387,996 193,998 96,999 290,998 145,499 436,498 218,249 654,748 327,374 163,687 491,062 245,531 736,594 368,297 1,104,892 552,446 276,223 828,670 414,335 1,243,006 621,503 1,864,510 932,255 2,796,766 1,398,383 4,195,150 2,097,575 6,292,726 3,146,363 9,439,090 4,719,545 14,158,636 7,079,318 3,539,659 10,618,978 5,309,489 15,928,468 7,964,234 3,982,117 11,946,352 5,973,176 2,986,588 1,493,294 746,647 2,239,942 1,119,971 3,359,914 1,679,957 5,039,872 2,519,936 1,259,968 629,984 314,992 157,496 78,748 39,374 19,687 59,062

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