1,957,152

2⁵ × 3 × 19 × 29 × 37

Starting at 1,957,152, the Collatz iteration reaches 1 after 215 steps. The first transition is 978576; the starting value is even with 96 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3 × 19 × 29 × 37

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 5,745,600

Proper Divisor Sum 3,788,448

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #1957147 ← → #1957157

Radix Representation

Decimal	1957152
Binary	111011101110100100000 (21 bits)
Octal	0o7356440
Hexadecimal	0x1DDD20

Divisor Catalog (60 of 96)

1 2 3 4 6 8 12 16 19 24 29 32 37 38 48 57 58 74 76 87 96 111 114 116 148 152 174 222 228 232 296 304 348 444 456 464 551 592 608 696 703 888 912 928 1,073 1,102 1,184 1,392 1,406 1,653 1,776 1,824 2,109 2,146 2,204 2,784 2,812 3,219 3,306 3,552

Collatz Trajectory (215 steps to reach 1)

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

1,957,152 978,576 489,288 244,644 122,322 61,161 183,484 91,742 45,871 137,614 68,807 206,422 103,211 309,634 154,817 464,452 232,226 116,113 348,340 174,170 87,085 261,256 130,628 65,314 32,657 97,972 48,986 24,493 73,480 36,740 18,370 9,185 27,556 13,778 6,889 20,668 10,334 5,167 15,502 7,751 23,254 11,627 34,882 17,441 52,324 26,162 13,081 39,244 19,622 9,811 29,434 14,717 44,152 22,076 11,038 5,519 16,558 8,279 24,838 12,419

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